@STRING( Springer = "Springer-Verlag, Berlin, Heidelberg and New York" ) @STRING( Northholland = "North-Holland, Amsterdam, New York and Oxford" ) @ARTICLE{amitsur, key = "Am", author = {S. A. Amitsur}, title = {Generic splitting fields of central simple algebras}, journal = {Ann. of Math.}, volume = {62}, year = 1955, pages = "8--43", } @INPROCEEDINGS{arakelov:intersections, key = "Ar", author = {S. J. Arakelov}, title = {Theory of intersections on the arithmetic surface}, booktitle = {Proceedings of the international congress of mathematicians, Vol. 1}, address = {Vancouver, 1974}, publisher = {Canad. Math. Congress, Montr\'eal}, year = 1975, pages = "405--408" } @ARTICLE{arason:kohominvar, key = "Ara", author = {J. K. Arason}, title = {Cohomologische Invarianten quadratischer Formen}, journal = {J. Algebra}, volume = {36}, year = 1975, pages = "448--491" } @ARTICLE{arasonelmanjacob, key = "AEJ", author = {J. K. Arason and R. Elman and B. Jacob}, title = {Fields of cohomological 2-dimension three}, journal = {Math. Ann.}, volume = {274}, year = 1986, pages = "649--657" } @INPROCEEDINGS{arthur:eisenstein, key = "Arth", author = {J. Arthur}, title = {Eisenstein series and the trace formula}, editor = {A. Borel and W. Casselman}, series = {Proc. Sympos. Pure Math.}, volume = {33, Part 1}, publisher = {AMS, Providence}, year = 1979, pages = "253--274" } @ARTICLE{artin:lreihen, key = "Arti", author = {E. Artin}, title = {\"Uber eine neue Art von $L$-Reihen}, journal = {Abh. Math. Semin. Univ. Hamburg}, volume = {3}, pages = "89--108", year = 1924 } @INPROCEEDINGS{artin:orders, key = "Art", author = {M. Artin}, title = {Left ideals in maximal orders}, booktitle = {Brauer groups in ring theory and algebraic geometry}, address = {Antwerp, 1981}, publisher = Springer, series = {Lect. Notes in Math.}, number = 917, pages = "182--193", year = 1982 } @BOOK{sga4, key = "SGA4", author = {M. Artin and A. Grothendieck and J.-L. Verdier}, title = {Th\'eorie des topos et cohomologie \'etale des sch\'emas (1963-64)}, series = {Lectures Notes in Math.}, volume = 305, publisher = Springer, year = 1973, re.language = "french" } @ARTICLE{batyrevmanin:hauteur, key = "BM", author = {V. V. Batyrev and Y. I. Manin}, title = {Sur le nombre des points rationnels de hauteur born\'ee des vari\'et\'es alg\'ebriques}, journal = {Math. Ann.}, volume = {286}, pages = "27--43", year = 1990, re.language = "french" } @ARTICLE{batyrevtschinkel:toric, key = "BT1", author = {V. V. Batyrev and Y. Tschinkel}, title = {Rational points of bounded height on compactifications of anisotropic tori}, journal = "Internat. Math. Res. Notices", volume = {12}, pages = "591--635", year = "1995" } @ARTICLE{batyrevtschinkel:generaltoric, key = "BT3", author = {V. V. Batyrev and Y. Tschinkel}, title = "Manin's conjecture for toric varieties", journal = {J. Algebraic Geom.}, volume = {7}, number = 1, year = "1998", pages = "15--53" } @ARTICLE{batyrevtschinkel:moretoric, key = "BT2", author = {V. V. Batyrev and Y. Tschinkel}, title = "Height zeta functions for toric varieties", journal = {J. Math. Sci.}, volume = 82, number = 1, year = 1996, pages = "3220--3239" } @ARTICLE{batyrevtschinkel:counter, key = "BT3", author = {V. V. Batyrev and Y. Tschinkel}, title = {Rational points on some Fano cubic bundles}, journal = {C. R. Acad. Sci. Paris S\'er. I Math.}, volume = 323, pages = "41--46", year = 1996 } @INCOLLECTION{batyrevtschinkel:tamagawa, key = "BT", author = {V. V. Batyrev and Y. Tschinkel}, title = {Tamagawa numbers of polarized algebraic varieties}, booktitle = {Nombre et r\'epartition de points de hauteur born\'ee}, series = {Ast\'erisque}, volume = {251}, publisher = {SMF, Paris}, year = 1998, pages = "299--340" } @MISC{bernstein:enumerating, key = "Be", author = {D. J. Bernstein}, title = "Enumerating solutions to $p(a)+q(b)=r(c)+s(d)$", note = {to appear in Math. Comp.}, year = "1999" } @ARTICLE{birch:forms, key = "Bi", author = "B. J. Birch", title = {Forms in many variables}, journal = {Proc. Roy. Soc. London}, volume = {265A}, pages = "245--263", year = 1962 } @ARTICLE{bloch:height, key = "Bl", author = "S. Bloch", title = {A note on height pairings, Tamagawa numbers and the Birch and Swinnerton-Dyer conjecture}, journal = {Invent. Math.}, volume = {58}, pages = "65--76", year = 1980 } @ARTICLE{blochkato:padic, key = "BK", author = "S. Bloch and K. Kato", title = {$p$-adic \'etale cohomology}, journal = {Inst. Hautes Etudes Sci. Publ. Math.}, volume = 63, year = 1986, pages = "107--152" } @ARTICLE{blochogus, key = "BO", author = {S. Bloch and A. Ogus}, title = {Gersten's conjecture and the homology of schemes}, journal = {Ann. Sci. \'Ecole Norm. Sup. (4)}, volume = {7}, year = 1974, pages = "181--202" } @ARTICLETRANS{bogomolov:brauer, key = "Bo", author = {F. A. Bogomolov}, title = {The Brauer group of quotient spaces by linear group actions}, journal = {Izv. Akad. Nauk SSSR Ser. Mat.}, volume = 51, year = 1987, number = 3, pages = "485--516", tr.journal = {Math. USSR Izv.}, tr.volume = 30, tr.year = 1988, tr.pages = "455--485" } @BOOK{borel:groups, key = "Bo", author = {A. Borel}, title = {Linear algebraic groups (Second enlarged edition)}, series = {Graduate Texts in Math.}, volume = 126, publisher = Springer, year = 1991 } @ARTICLE{boreltits:reductifs, key = "BT", author = {A. Borel and J. Tits}, title = {Groupes r\'eductifs}, journal = {Publ. Math. I.H.E.S.}, volume = {27}, pages = "55--150", year = 1965, re.language = {french} } @ARTICLE{boreltits:complements, key = "BT", author = {A. Borel and J. Tits}, title = {Compl\'ements \`a l'article : $\scriptstyle\ll\hskip 0.2em$groupes r\'eductifs$\hskip0.2em\scriptstyle\gg$}, journal = {Publ. Math. I.H.E.S.}, volume = {41}, pages = "253--276", year = 1972, re.language = {french} } @TECHREPORT{borovoi:weakapproximation, key = "Boro", author = {M. V. Borovoi}, title = {On weak approximation in homogeneous spaces of simply connected algebraic groups}, type = {Preprint}, number = {89--86}, institution = {Max-Planck-Institut f\"ur Mathematik}, year = 1989 } @ARTICLE{borovoirudnick:hardylittlewood, key = "BR", author = {M. Borovoi and Z. Rudnick}, title = {Hardy-Littlewood varieties and semi-simple groups}, journal = {Invent. math.}, volume = 119, pages = "37--66", year = 1995 } @ARTICLE{bostgilletsoule:heights, key = "BGS", author = {J.-B. Bost and H. Gillet and C. Soul\'e}, title = {Heights of projective varieties and positive Green forms}, journal = {J. Amer. Math. Soc.}, volume = {7}, year = 1994, pages = "903--1027" } @ARTICLE{bott:lefschetz, key = "Bo", author = {R. Bott}, title = {On a theorem of Lefschetz}, journal = {Mich. Math. J.}, volume = 6, year = 1959, pages = "211--216" } @BOOK{bourbaki:lie, key = "Bki", author = {N. Bourbaki}, title = {Groupes et alg\`ebres de Lie. Chap. 4, 5 et 6}, publisher = {Masson, Paris}, year = 1981 } @TECHREPORT{breteche:torique, key = "Bre", author = {R. de la Bret\`eche}, title = {Compter des points d'une vari\'et\'e torique rationnelle}, type = {Pr\'epublication}, number = {98-41}, institution = {Universit\'e de Paris-Sud, Math\'ematiques}, year = 1998 } @BOOK{brown:cohomology, key = "Bro", author = {K. S. Brown}, title = {Cohomology of groups}, series = {Graduate Texts in Math.}, volume = 87, publisher = Springer, year = 1982 } @INPROCEEDINGS{brzezinski:brauerseveri, key = "Brz", author = {J. Brzezinski}, title = {Brauer-Severi schemes of orders}, booktitle = {Orders and their applications}, address = {Oberwolfach, 1984}, editor = {I. Reiner and K. W. Roggenkamp}, series = {Lecture notes in math.}, volume = 1142, pages = "18--49", publisher = Springer, year = 1985 } @ARTICLE{brylinski:decomposition, key = "Br", author = {J.-L. Brylinski}, title = {D\'ecomposition simpliciale d'un r\'eseau, invariante par un groupe fini d'automorphismes}, journal = {C. R. Acad. Sci. Paris S\'er. I Math.}, volume = 288, year = 1979, pages = "137--139" } @INSEMINAIRE{cartan:dga, key = "Car1", author = {H. Cartan}, title = {D\'etermination des alg\`ebres $H_*(\Pi,n;\bold Z_p)$ et $H^*(\Pi,n;\bold Z_p)$, $p$ premier impair}, type = {Henri Cartan}, number = 9, year = {1954/55} } @INSEMINAIRE{cartan:dga:casdeux, key = "Car2", author = {H. Cartan}, title = {D\'etermination des alg\`ebres $H_*(\Pi,n;\bold Z_2)$ et $H^*(\Pi,n;\bold Z_2)$; groupes stables modulo $p$}, type = {Henri Cartan}, number = 10, year = {1954/55} } @INSEMINAIRE{cartan:dga:entier, key = "Car", author = {H. Cartan}, title = {D\'etermination des alg\`ebres $H_*(\Pi,n;\bold Z)$}, type = {Henri Cartan}, number = 11, year = {1954/55} } @INPROCEEDINGS{cartier:padic, key = "Car", author = {P. Cartier}, title = {Representations of $\frak p$-adic groups: a survey}, editor = {A. Borel and W. Casselman}, series = {Proc. Sympos. Pure Math.}, volume = {33, Part 1}, pages = "111--155", publisher = {AMS, Providence}, year = 1979 } @ARTICLE{casselman:principalseries, key = "Cas", author = {W. Casselman}, title = {The unramified principal series of $\frak p$-adic groups I. The spherical function}, journal = {Compositio Math.}, volume = {40}, number = 3, pages = "387--406", year = 1980 } @MISC{chambertloirtschinkel:vector1, key = "CLT1", author = {A. Chambert-Loir and Y. Tschinkel}, title = {Points of bounded height on equivariant compactifications of vector groups, I}, note = {Preprint}, year = 1999 } @MISC{chambertloirtschinkel:vector2, key = "CLT2", author = {A. Chambert-Loir and Y. Tschinkel}, title = {Points of bounded height on equivariant compactifications of vector groups, II}, note = {Preprint}, year = 1999 } @BOOK{cohen:computational, key = "Co", author = {H. Cohen}, title = {A course in computational algebraic number theory}, series = {Graduate Texts in Math.}, volume = 138, year = 1993, publisher = Springer } @TECHREPORT{colliotthelene, key = "C-T", author = {J.-L. Colliot-th\'el\`ene}, title = {Cycles alg\'ebriques de torsion et $K$-th\'eorie al\-g\'e\-bri\-que}, type = {Preprint}, number = {92--14}, institution = {Universit\'e de Paris-Sud}, year = 1992, re.language = "french" } @INPROCEEDINGS{colliotthelene:hasse, key = "CT", author = {J.-L. Colliot-Th\'el\`ene}, title = {The Hasse principle in a pencil of algebraic varieties}, booktitle = {Number theory}, address = {Tiruchirapalli, 1996}, series = {Contemp. Math.}, volume = 210, year = 1998, publisher = {Amer. Math. Soc., Providence}, pages = {19--39} } @ARTICLE{colliothooblerkahn, key = "CTHK", author = {J.-L. Colliot-Th\'el\`ene and R. T. Hoobler and B. Kahn}, title = {The Bloch-Ogus-Gabber theorem}, journal = {Fields Institute Comm.}, volume = 16, year = 1997, pages = "31-94" } @INPROCEEDINGS{colliotkanevskysansuc:cubic, key = "CTKS", author = {J.-L. Colliot-Th\'el\`ene and D. Kanevsky and J.-J. Sansuc}, title = {Arithm\'etique des surfaces cubiques diagonales}, booktitle = {Diophantine approximation and transcendenc theory}, address = {Bonn, 1985}, pages = "1--108", publisher = Springer, year = 1987, series = {Lecture Notes in Math.}, volume = 1290, re.language = "french" } @ARTICLE{colliottheleneojanguren, key = "CTO", author = {J.-L. Colliot-Th\'el\`ene and M. Ojanguren}, title = {Vari\'et\'es unirationnelles non rationnelles: au-del\`a de l'exemple d'Artin et Mumford}, journal = {Invent. math.}, volume = {97}, year = 1989, pages ="141--158", re.language = "french" } @ARTICLE{ctr, key = "CTR", author = {J.-L. Colliot-Th\'el\`ene and W. Raskind}, title = {$\cal K_2$-cohomology and the second Chow group}, journal = {Math. Ann.}, volume = 270, year = 1985, pages = "165--199" } @ARTICLE{ctr:finitude, key = "C-TR", author = {J.-L. Colliot-Th\'el\`ene and W. Raskind}, title = {Groupe de Chow de codimension deux des vari\'et\'es d\'efinies sur un corps de nombres: un th\'eor\`eme de finitude pour la torsion}, journal = {Invent. Math.}, volume = 105, year = 1991, pages = "221--245", re.language = "french" } @ARTICLE{cts:predescente1, key = "CTS1", author = {J.-L. Colliot-Th\'el\`ene and J.-J. Sansuc}, title = {Torseurs sous des groupes de type multiplicatif; applications \`a l'\'etude des points rationnels de certaines vari\'et\'es alg\'ebriques}, journal = {C. R. Acad. Sci. Paris S\'er. I Math.}, volume = 282, pages = "1113--1116", year = 1976, re.language = "french" } @ARTICLE{cts:predescente2, key = "CTS", author = {J.-L. Colliot-Th\'el\`ene and J.-J. Sansuc}, title = {La descente sur une vari\'et\'e rationnelle d\'efinie sur un corps de nombres}, journal = {C. R. Acad. Sci. Paris S\'er. I Math.}, volume = 284, pages = "1215--1218", year = 1977, re.language = "french" } @INPROCEEDINGS{cts:descente1, key = "CTS2", author = {J.-L. Colliot-Th\'el\`ene and J.-J. Sansuc}, title = {La descente sur les vari\'et\'es rationnelles}, editor = {A. Beauville}, booktitle = {Journ\'ees de g\'eom\'etrie alg\'ebrique d'Angers}, address = {1979}, publisher = {Sijthoff \& Noordhoff, Alphen aan den Rijn}, pages = "223--237", year = 1980, re.language = "french" } @ARTICLE{cts:descente2, key = "CTS3", author = {J.-L. Colliot-Th\'el\`ene and J.-J. Sansuc}, title = {La descente sur les vari\'et\'es rationnelles, II}, journal = {Duke Math. J.}, volume = {54}, number = 2, pages = "375--492", year = 1987, re.language = "french" } @TECHREPORT{cts:fibresquadriques, key ="C-TS", author = {J.-L. Colliot-Th\'el\`ene and A. N. Skorobogatov}, title = {Groupe de Chow des z\'ero-cycles sur les fibr\'es en quadriques}, type = {Preprint}, number = "93-05", institution = {Universit\'e de Paris-Sud}, year = 1993, re.language = "french" } @ARTICLETRANS{danilov:toric, key = "Da", author = {V. I. Danilov}, title = {The geometry of toric varieties}, journal = {Uspekhi. Mat. Nauk}, volume = 33, number = 2, year = 1978, pages = "85--134", tr.journal = {Russian Math. Surveys}, tr.volume = 33, tr.number = 2, tr.year = 1978, tr.pages = "97--154" } @ARTICLE{deligne:weil, key = "De", author = {P. Deligne}, title = {La conjecture de Weil I.}, journal = {Publ. Math. I.H.E.S.}, volume = {43}, pages = "273--307", year = 1973 } @ARTICLE{delzant:moment, key = "De", author = {T. Delzant}, title = {Hamiltoniens p\'eriodiques et images convexes de l'application moment}, journal = {Bull. Soc. Math. France}, volume = 116, year = 1988, pages = "315--339" } @ARTICLE{demazure:desingularisation, key = "De", author = {M. Demazure}, title = {D\'esingularisation des vari\'et\'es de Schubert g\'en\'eralis\'ees}, journal = {Ann. Sci. \'Ecole Norm. Sup. (4)}, volume = 7, pages = "53--88", year = 1974 } @BOOK{egan, key = "EGA", author = {J. Dieudonn\'e and A. Grothendieck}, title = {El\'ements de g\'eom\'etrie alg\'ebrique}, series = {Publ. Math. I.H.E.S.}, volume = "4, 8, 11, 17, 20, 24, 28 et 32", year = "1960--67", re.language = "french" } @ARTICLE{draxl:tori, key = "Dr", author = {P. K. J. Draxl}, title = {$L$-Funktionen algebraischer Tori}, journal = {J. Number Theory}, volume = 3, year = 1971, pages = "444--467" } @MISC{edidingraham:equivariant, key = "EG", author = {D. Edidin and W. Graham}, title = {Equivariant intersection theory}, note = {\texttt{http:\penalty100//xxx\penalty100.lanl\penalty100.gov\penalty100% /abs\penalty100/alg-geom/9609018}}, year = 1996 } @BOOK{evens:cohomology, key = "Ev", author = {L. Evens}, title = {The cohomology of groups}, publisher = {Clarendon press, Oxford}, year = 1991 } @ARTICLE{fmt:fano, key = "FMT", author = {J. Franke and Y. I. Manin and Y. Tschinkel}, title = {Rational points of bounded height on Fano varieties}, journal = {Invent. Math.}, volume = {95}, pages = "421--435", year =1989 } @TECHREPORT{frossard:these, key = "Fr", author = {E. Frossard}, title = {Arithm\'etique des vari\'et\'es fibr\'ees en vari\'et\'es de Severi-Brauer au-dessus d'une courbe de genre quelconque}, type = {Th\`ese}, number = {1671}, institution = {Universit\'e de Paris-Sud}, year = 1995 } @BOOK{fulton:intersection, key = "Fu", author = {W. Fulton}, title = {Intersection theory}, series = {Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge}, volume = 2, publisher = Springer, year = 1984 } @ARTICLE{gillet:riemannroch, key = "Gi", author = {H. Gillet}, title = {Riemann-Roch theorems for higher algebraic $K$-theory}, journal = {Adv. Math.}, volume = 40, number = 3, year = 1981, pages = "203--289" } @BOOK{griffithsharris:algebraic, key = "GH", author = {P. Griffiths and J. Harris}, title = {Principles of algebraic geometry}, publisher = {Wiley-Interscience, New-York}, year = 1978 } @ARTICLE{grossuwa:gersten, key = "GS", author = {M. Gros and N. Suwa}, title = {La conjecture de Gersten pour les faisceaux de Hodge-Witt logarithmiques}, journal = {Duke Math. J.}, volume = 57, year = 1988, pages = "615--628", number = 2, re.language = "french" } @INSEMINAIRE{grothendieck:picard:existence, key = "G1", author = {A. Grothendieck}, title = {Technique de descente et th\'eor\`emes d'existence en g\'eom\'etrie alg\'ebrique. V. Les sch\'emas de Picard\: Th\'eor\`emes d'existence}, type = {Bourbaki}, volume = 14, number = 232, year = {1961/62} } @INSEMINAIRE{grothendieck:picard:proprietes, key = "G2", author = {A. Grothendieck}, title = {Technique de descente et th\'eor\`emes d'existence en g\'eom\'etrie alg\'ebrique. VI. Les sch\'emas de Picard\: Propri\'et\'es g\'en\'erales}, type = {Bourbaki}, volume = 14, number = 236, year = {1961/62} } @INCOLLECTION{grothendieck:brauerI, key = "G3", author = {A. Grothendieck}, title = {Le groupe de Brauer I: alg\`ebres d'Azumaya et interpr\'etations diverses}, booktitle = {Dix expos\'es sur la cohomologie des sch\'emas}, series = {Adv. Stud. in Pure Math.}, volume = 3, publisher = {North-Holland, Amsterdam and Masson, Paris}, year = 1968, pages = "46--66", re.language = "french" } @INCOLLECTION{grothendieck:brauerII, key = "G3", author = {A. Grothendieck}, title = {Le groupe de Brauer II: Th\'eorie cohomologique}, booktitle = {Dix expos\'es sur la cohomologie des sch\'emas}, series = {Adv. Stud. Pure Math.}, volume = 3, publisher = {North-Holland, Amsterdam et Masson, Paris}, year = 1968, pages = "67--87", re.language = "french" } @BOOK{sga2, key = "SGA2", author = {A. Grothendieck}, title = {Cohomologie locale des faisceaux coh\'erents et th\'eor\`emes de Lefschetz locaux et globaux.}, series = {Adv. Stud. Pure Math.}, volume = 2, publisher = {North Holland, Amsterdam et Masson, Paris}, year = 1968 } @BOOK{hartshorne:ample, key = "Ha", author = {R. Hartshorne}, title = {Ample subvarieties of algebraic varieties}, series = {Lecture Notes in Math.}, volume = 156, publisher = Springer, year = 1970 } @BOOK{hartshorne:geometry, key = "Ha", author = {R. Hartshorne}, title = {Algebraic geometry}, series = {Graduate Texts in Math.}, volume = 52, publisher = Springer, year = 1977 } @ARTICLE{heathbrown:density, key = "H-B", author = {D. R. Heath-Brown}, title = {The density of zeros of forms for which weak approximation fails}, journal = {Math. Comp.}, volume = {59}, pages = "613--623", year = 1992 } @BOOK{hilton:stammbach, key = "HS", author = {P. J. Hilton and U. Stammbach}, title = {A course in homological algebra}, series = {Graduate Texts in Math.}, volume = 4, publisher = Springer, year = 1970 } @ARTICLE{hs:spectral, key = "HS", author = {G. Hochschild and J.-P. Serre}, title = {Cohomology of group extensions}, journal = {Trans. Amer. Math. Soc.}, volume = {74}, year = 1953, pages = "110--134" } @BOOK{igusa:higher, key = "Ig2", author = {J.-I. Igusa}, title = {Lectures on forms of higher degree}, publisher = {Tata institute of fundamental research, Bombay and Springer-Verlag, Berlin}, year = 1978 } @INPROCEEDINGS{igusa:criteria, key = "Ig1", author = {J.-I. Igusa}, title = {Criteria for the validity of a certain Poisson formula}, booktitle = {Algebraic number theory}, address = {Kyoto, 1976}, editor = {S. Iyanaga}, publisher = {Japan society for the promotion of science, Tokio}, year = 1977, pages = {43--65} } @BOOK{irelandrosen:number, key = "IR", author = {K. Ireland and M. Rosen}, title = {A classical introduction to modern number theory (second edition)}, series = {Graduate texts in Math.}, volume = 84, publisher = springer, year = 1990 } @ARTICLE{jr:degreefour, key = "JR", title = {Degree four cohomological invariants for quadratic forms}, author = {B. Jacob and M. Rost}, journal = {Invent. Math.}, volume = {96}, year = 1989, pages = "551--570" } @ARTICLE{kahn:descente, key = "Kah1", author = {B. Kahn}, title = {Descente galoisienne et $K_2$ des corps de nombres}, journal = {K-theory}, volume = {7}, year = 1993, pages = "55--100", re.language = "french" } @MISC{kahn:biquadratic, key = "Kah1", author = {B. Kahn}, title = {On the cohomology of biquadratic extensions}, note = {to appear in Comment. Math. Helv.}, year = 1993 } @ARTICLE{kahn:motivic, key = "Kah2", author = {B. Kahn}, title = {Applications of weight-two motivic cohomology}, journal = {Doc. Math. J. DMV}, volume = 1, year = 1996, pages = "395--416" } @MISC{kahn:quillen, key = "Kah3", author = {B. Kahn}, title = {The Quillen-Lichtenbaum conjecture at the prime $2$}, note = {\texttt{http:\penalty100//www\penalty100.math.uiuc.edu\penalty100/K-theory/0208}}, year = 1997 } @MISC{kahn:cellular, key = "Kah4", author = {B. Kahn}, title = {Motivic cohomology of smooth geometrically cellular varieties}, note = {\texttt{http:\penalty100//www\penalty100.math.uiuc.edu\penalty100/K-theory/0218}}, year = 1997 } @ARTICLETRANS{karpenko:quadric, key = "Kar", author = {N. A. Karpenko}, title = {Algebro-geometric invariants of quadratic forms}, journal = {Algebra i analiz}, volume = 2, year = 1990, number = 1, pages = "141--162", tr.journal = {Leningrad Math. J.}, tr.volume = 2, tr.year = 1991, tr.number = 1, tr.pages = "119--138" } @TECHREPORT{karpenko:filtrationII, key = "Kar", author = {N. A. Karpenko}, title = {On topological filtration for Severi-Brauer varieties II}, type = {Preprint}, year = 1993 } @INPROCEEDINGS{kato:milnor, key = "Kat", author = {K. Kato}, title = {Milnor $K$-theory and the Chow group of zero cycles}, booktitle = {Applications of algebraic $K$-theory to algebraic geometry and number theory}, address = {Boulder, 1983}, series = {Contemp. Math.}, volume = 55, publisher = {AMS, Providence}, pages = "241--253", year = 1986 } @ARTICLE{kr:splitting, key = "KR", author = {I. Kersten and U. Rehmann}, title = {Generic splitting of reductive groups}, journal = {T\^ohoku Math. J.}, volume = 46, year = 1994, pages = "35--70" } @MISC{klst, key = "KLST", author = {M. Knus and T. Y. Lam and D. B. Shapiro and J.-P. Tignol}, title = {Discriminants of involutions on biquaternion algebras}, note = {in this volume}, year = 1992 } @ARTICLE{kobayashi:ricci, key = "Ko", author = {S. Kobayashi}, title = {On compact K\"ahler manifolds with positive definite Ricci tensor}, journal = {Ann. of Math.}, volume = 74, number = 3, pages = "570--574", year = 1961 } @ARTICLE{kocher:bereiche, key = {K\"o}, author = {M. K\"ocher}, title = {Positivit\"atsbereiche im {\bf R}$\vphantom{R}^n$}, journal = {Amer. J. Math.}, volume = 79, year = 1957, pages = "575--596" } @ARTICLE{lachaud:waring, key = "Lac", author = {G. Lachaud}, title = {Une pr\'esentation ad\'elique de la s\'erie singuli\`ere et du probl\`eme de Waring}, journal = {Enseign. Math. (2)}, volume = {28}, pages = "139--169", year =1982 } @TECHREPORT{laghribi:these:premiere, key = "Lag", author = {A. Laghribi}, title = {Isotropie de certaines formes quadratiques de dimensions 7 et 8 sur le corps des fonctions d'une quadrique}, type = {Pr\'epublication}, year = 1995, note = {\`a para\^\i tre au Duke Math. J.} } @BOOK{lam:quadratic, key = "Lam", author = {T. Y. Lam}, title = {The algebraic theory of quadratic forms}, publisher = {Benjamin}, address = {Reading}, year = 1973 } @BOOK{langlands:eisenstein, key = "Lan", author = {R. P. Langlands}, title = {On the functional equations satisfied by Eisenstein series}, series = {Lecture Notes in Math.}, volume = 544, publisher = Springer, year = 1976 } @ARTICLE{lecomte:rigidite, key = "Le", author = {F. Lecomte}, title = {Rigidit\'e des groupes de Chow}, journal = {Duke Math. J.}, volume = {53}, number = 2, pages = "405--426", year = 1986 } @ARTICLE{leepschmidt:systems, key = "LS", author = {D. B. Leep and W. M. Schmidt}, title = {Systems of homogeneous equations}, journal = {Invent. Math.}, volume = {71}, pages = "539--549", year = 1983 } @ARTICLE{levine:indecomposable, key = "Le", author = {M. Levine}, title = {The indecomposable $K_3$ of fields}, journal = {Ann. Sci. Ecole Norm. Sup.}, volume = {22}, year = 1989, pages = "255--344" } @INPROCEEDINGS{lichtenbaum:zetavalues, key = "Li1", author = {S. Lichtenbaum}, title = {Values of zeta-functions at nonnegative integers}, booktitle = {Number theory}, address = {Noordwijkerhout, 1983}, editor = {H. Jager}, series = {Lecture Notes in Math.}, volume = 1068, publisher = Springer, year = 1984, pages = "127--138" } @ARTICLE{lichtenbaum:arithmcoh, key = "Li2", author = {S. Lichtenbaum}, title = {The construction of weight-two arithmetic cohomology}, journal = {Invent. math.}, volume = {88}, year = 1987, pages = "183--215" } @INCOLLECTION{lichtenbaum:motiviccoh, key = "Li3", author = {S. Lichtenbaum}, title = {New results on weight-two motivic cohomology}, booktitle = {The Grothendieck Fest\-schrift III}, editor = {P. Cartier and L. Illusie and N. M. Katz and G. Laumon and Y. Manin and K. A. Ribet}, series = {Progress in Math.}, volume = 88, publisher = {Birkh\"auser, Boston}, year = 1990, pages = "35--55" } @BOOK{macdonald:spherical, key = "Mac", author = {I. G. Macdonald}, title = {Spherical functions on a group of $\frak p$-adic type.}, series = {Publications of the Ramanujan Institute}, volume = 2, year = 1971 } @INPROCEEDINGS{manin:brauer, key = "Man1", author = {Y. I. Manin}, title = {Le groupe de Brauer-Grothendieck en g\'eom\'etrie diophantienne}, booktitle = {Actes Congr\`es intern. math., Tome 1}, address = {Nice, 1970}, publisher = {Gauthiers-Villars, Paris}, year = 1971, pages = "401--411" } @BOOK{manin:cubic, key = "Man2", author = {Y. I. Manin}, title = {Cubic forms (second edition)}, series = {North-Holland Math. Library}, volume = 4, publisher = Northholland, year = 1986 } @ARTICLE{manin:threefolds, key = "Man2", author = {Y. I. Manin}, title = {Notes on the arithmetic of Fano threefolds}, journal = {Compositio Math}, volume = {85}, pages = "37--55", year = 1993 } @ARTICLE{manin:curves, key = "Man", author = {Y. I. Manin}, title = {Problems on rational points and rational curves on algebraic varieties}, journal = {Surveys in differentiable geometry}, volume = {2}, pages = "214--245", year = 1995 } @ARTICLETRANS{merkurjev:homogeneous, key = "Me", author = {A. S. Merkur$'$ev}, title = {The group $H^1(X,\cal K_2)$ for projective homogeneous varieties}, journal = {Algebra i Analiz}, volume = {7}, year = 1995, pages = "136--164", tr.journal = {St Petersburg Math. J.}, tr.volume = {7}, tr.year = 1996, tr.pages = "421--444" } @TECHREPORT{mpw:reduction, key = "MPW", author = {A. S. Merkur$'$ev and I. A. Panin and A. R. Wadsworth}, title = {Index reduction formulas for twisted flag varieties, I}, type = {Preprint}, year = 1995 } @ARTICLETRANS{ms:severibrauer, key = "MS1", author = {A. S. Merkur$'$ev and A. A. Suslin}, title = {$\cal K$-cohomology of Severi-Brauer varieties and the norm residue homomorphism}, journal = {Izv. Akad. Nauk SSSR Ser. Mat.}, volume = {46}, number = 5, year = 1982, pages = "1011--1046", tr.journal = {Math. USSR-Izv.}, tr.volume = {21}, tr.number = 2, tr.year = 1983, tr.pages = "307--340" } @ARTICLETRANS{ms:ktrois, key = "MS2", author = {A. S. Merkur$'$ev and A. A. Suslin}, title = {The group $K_3$ for a field}, journal = {Izv. Akad. Nauk SSSR Ser. Mat.}, volume = 54, number = 3, year = 1990, pages = "522--545", tr.journal = {Math USSR-Izv.}, tr.volume = 36, tr.number = 3, tr.year = 1991, tr.pages = "541--565" } @ARTICLE{mt, key = "MT", author = {A. S. Merkur$'$ev and J.-P. Tignol}, title = {Galois cohomology of biquadratic extensions}, journal = {Comment. Math. Helv.}, volume = 68, year = 1993, pages = "138--169" } @TECHREPORT{mt:brauer, key = "MT", author = {A. S. Merkur$'$ev and J.-P. Tignol}, title = {The multipliers of similitudes and the Brauer group of homogeneous varieties}, type = {Preprint}, year = 1994 } @BOOK{milne:etale, key = "Mi", author = {J. S. Milne}, title = {\'Etale cohomology}, series = {Princeton Math. Series}, volume = 33, publisher = {Princeton University Press}, year = 1980 } @BOOK{neukirch:zahlentheorie, key = "Ne", author = {J. Neukirch}, title = {Algebraische Zahlentheorie}, publisher = Springer, year = 1992 } @BOOK{oda:convex, key = "Oda", author = {T. Oda}, title = {Convex bodies and algebraic geometry}, series = {Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge}, volume = 15, year = 1988, publisher = Springer } @INCOLLECTION{oda:recenttoric, key = "Oda2", author = {T. Oda}, title = {Recent topics on toric varieties}, booktitle = {Selected papers on number theory and algebraic geometry}, editor = {K. Nomizu}, series = {Amer. Math. Soc. Trans. (2)}, volume = 172, publisher = {AMS, Providence}, year = 1996, pages = "77--91" } @ARTICLE{ono:algebraic, key = "Ono1", author = {T. Ono}, title = {On some arithmetic properties of linear algebraic groups}, journal = {Ann. of Math. (2)}, volume = 70, number = 2, year = 1959, pages = "266--290" } @ARTICLE{ono:tori, key = "Ono2", author = {T. Ono}, title = {Arithmetic of algebraic tori}, journal = {Ann. of Math. (2)}, volume = 74, number = 1, year = 1961, pages = "101--139" } @ARTICLE{ono:tamagawa, key = "Ono3", author = "T. Ono", title = {On the Tamagawa number of algebraic tori}, journal = {Ann. of Math. (2)}, volume = 78, number = 1, year = 1963, pages = "47--73" } @TECHREPORT{panin:splitting, key = "P", author = {I. A. Panin}, title = {A splitting principle and the algebraic $K$-theory of some homogeneous varieties}, type = {Preprint}, year = 1991 } @ARTICLE{panin:flags, key = "Pa", author = {I. A. Panin}, title = {On the algebraic $K$-theory of twisted flag varieties}, journal = {$K$-theory}, volume = 8, number = 6, pages = "541--585", year = 1994 } @TECHREPORT{patterson:hardylittlewood, key = "Pa", author = {S. J. Patterson}, title = {The Hardy-Littlewood method and Diophantine analysis in the light of Igusa's work}, type = {Mathematica Gottingensis, Schriftenreihe des Sonderforschungsbereichs Geometrie und Analysis}, number = 11, year = 1985, institution = {Mathematisches Institut, G\"ottingen} } @ARTICLE{peyre:these, key = "Pe1", author = {E. Peyre}, title = {Unramified cohomology and rationality problems}, journal = {Math. Ann.}, volume = 296, year = 1993, pages = "247--268", re.language = "french" } @INPROCEEDINGS{peyre:coniques, key = "Pe2", author = {E. Peyre}, title = {Products of Severi-Brauer varieties and Galois cohomology}, booktitle = {$K$-theory and algebraic geometry: connections with quadratic forms and division algebras}, address = {Santa-Barbara, 1992}, editor = {B. Jacob and A. Rosenberg}, series = {Proc. Sympos. Pure Math.}, volume = {58.2}, publisher = {AMS, Providence}, pages = "369--401", year = 1995, } @ARTICLE{peyre:fano, key = "Pe", author = {E. Peyre}, title = {Hauteurs et mesures de Tamagawa sur les vari\'et\'es de Fano}, journal = {Duke Math. J.}, volume = 79, number = 1, pages = "101--218", year = 1995 } @ARTICLE{peyre:cras:homogeneous, key = "Pe3", author = {E. Peyre}, title = {Corps de fonctions de vari\'et\'es homog\`enes et cohomologie galoisienne}, journal = {C. R. Acad. Sci. Paris S\'er. I Math.}, volume = 321, pages = "891--896", year = 1995 } @INCOLLECTION{peyre:torseurs, key = "Pe2", author = {E. Peyre}, title = {Terme principal de la fonction z\^eta des hauteurs et torseurs universels}, booktitle = {Nombre et r\'epartition de points de hauteur born\'ee}, series = {Ast\'erisque}, volume = {251}, publisher = {SMF, Paris}, year = 1998, re.language = "french", pages = "259--298" } @MISC{peyre:homogeneous, key = "Pe4", author = {E. Peyre}, title = {Galois cohomology in degree three and homogeneous varieties}, note = {to appear in $K$-theory}, year = 1997 } @MISC{peyretschinkel:numericone, key = "PT", author = {E. Peyre and Y. Tschinkel}, title = {Tamagawa numbers of diagonal cubic surfaces, numerical evidence}, note = {to appear in Math. Comp.}, year = 1999 } @INPROCEEDINGS{quillen:higherk, key = "Q", author = {D. Quillen}, title = {Higher algebraic K-theory I}, booktitle = {Higher K-theories}, address = {Seattle, 1972}, editor = {H. Bass}, series = {Lecture Notes in Math.}, volume = 341, publisher = Springer, year = 1973, pages = "85--147" } @ARTICLE{robbiani:six, key = "Ro", author = {M. Robbiani}, title = {Rational points of bounded height on Del Pezzo surfaces of degree six}, journal = {Comment. Math. Helv.}, volume = 70, pages = "403--422", year = 1995 } @ARTICLE{rosenlicht:toroidal, key = "Ro", author = {M. Rosenlicht}, title = {Toroidal algebraic groups}, journal = {Proc. Amer. Math. Soc.}, volume = {12}, pages = "984--988", year = 1961 } @ARTICLE{rost:chow, key = "Ro", author = {M. Rost}, title = {Chow groups with coefficients}, journal = {Doc. Math. J. DMV}, volume = {1}, year = 1996, pages = "319--393" } @INCOLLECTION{salberger:tamagawa, key = "Sa", author = {P. Salberger}, title = {Tamagawa measures on universal torsors and points of bounded height on Fano varieties}, booktitle = {Nombre et r\'epartition de points de hauteur born\'ee}, series = {Ast\'erisque}, volume = 251, publisher = {SMF, Paris}, year = 1998, pages = "91--258" } @ARTICLE{saltman:noether, key = "Sa1", author = {D. J. Saltman}, title = {Noether's problem over an algebraically closed field}, journal = {Invent. Math.}, volume = 77, year = 1984, pages = "71--84" } @INPROCEEDINGS{saltman:negligible, key = "Sa2", author = {D. J. Saltman}, title = {Brauer groups of invariant fields, geometrically negligible classes, an equivariant Chow group, and unramified $H^3$}, booktitle = {$K$-theory and algebraic geometry: connections with quadratic forms and division algebras}, address = {Santa-Barbara, 1992}, editor = {B. Jacob and A. Rosenberg}, series = {Proc. Sympos. Pure Math.}, volume = {58.1}, publisher = {AMS, Providence}, pages = "189--246", year = 1995, } @ARTICLE{sansuc:brauer, key = "Sa", author = {J.-J. Sansuc}, title = {Groupe de Brauer et arithm\'etique des groupes alg\'ebriques lin\'eaires sur un corps de nombres}, journal = {J. Reine Angew. Math.}, volume = {327}, pages = "12--80", year = 1981 } @ARTICLE{schanuel:heights, key = "Sc", author = {S. H. Schanuel}, title = {Heights in number fields}, journal = {Bull. Soc. Math. France}, volume = {107}, pages = "433--449", year = 1979 } @BOOK{serre:corpslocaux, key = "Se1", author = {J.-P. Serre}, title = {Corps locaux}, series = {Actualit\'es scientifiques et industrielles}, volume = 1296, publisher = {Hermann, Paris}, year = 1968 } @INSEMINAIRE{serre:facteurs, key = "Se2", author = {J.-P. Serre}, title = {Facteurs locaux des fonctions z\^eta des vari\'et\'es alg\'ebriques (d\'efinitions et conjectures)}, type = {Delange-Pisot-Poitou}, volume = 11, number = 19, year = {1969/70} } @INSEMINAIRE{serre:frobenius, key = "Se3", author = {J.-P. Serre}, title = {Valeurs propres des endomorphismes de Frobenius (d'apr\`es P. Deligne)}, type = {Bourbaki}, volume = 26, number = 446, year = {1973/74} } @BOOK{serre:multiplicites, key = "Se", author = {J.-P. Serre}, title = {Alg\`ebre locale, multiplicit\'es (Troisi\`eme \'edition)}, series = {Lecture Notes in Math.}, volume = 11, publisher = Springer, year = 1975 } @BOOK{serre:mordellweil, key = "Se4", author = {J.-P. Serre}, title = {Lectures on the Mordell-Weil theorem}, series = {Aspects of Mathematics}, volume = {E15}, publisher = {Vieweg, Braunschweig, Wiesbaden}, year = 1989 } @MISC{serre:negligeable, key = "Se", author = {J.-P. Serre}, title = {R\'esum\'e des cours et travaux}, note = {Annuaire du coll\`ege de France 1990-91, pp. 111--123}, } @ARTICLE{stw:witt, key = "STW", author = {D. B. Shapiro and J.-P. Tignol and A. R. Wadsworth}, title = {Witt rings and Brauer groups under multiquadratic extensions. II}, journal = {J. Algebra}, volume = {78}, year = 1982, pages = "58--90" } @ARTICLE{sherman:kcohomology, key = "Sh", author = {C. C. Sherman}, title = {$\cal K$-cohomology of regular schemes}, journal = {Comm. Algebra}, volume = {7}, year = 1979, number = 10, pages = "999--1027" } @INCOLLECTION{silverman:height, key = "Si", author = {J. H. Silverman}, title = {The theory of height functions}, editor = {G. Cornell and J.H. Silverman}, booktitle = {Arithmetic geometry}, pages = "151--166", publisher = Springer, year = 1986 } @MISC{skorobogatov:heights, key = "Sk2", author = {A. N. Skorobogatov}, title = {Partial exceptional heights and descent on rational surfaces}, note = {Unpublished text}, year = 1993 } @ARTICLE{skorobogatov:enriques, key = "Sk1", author = {A. N. Skorobogatov}, title = {On a theorem of Enriques---Swinnerton-Dyer}, journal = {Ann. Fac. Sci. Toulouse Math. (6)}, volume = 2, number = 3, year = 1993, pages = "429--440" } @INPROCEEDINGS{springer:reductive, key = "Sp", author = {T. A. Springer}, title = {Reductive groups}, editor = {A. Borel and W. Casselman}, series = {Proc. Sympos. Pure Math.}, Volume = {33 Part 1}, pages = "3--27", publisher = {AMS, Providence}, year = 1979 } @ARTICLE{steinberg:pittie, key = "St", author = {R. Steinberg}, title = {On a theorem of Pittie}, journal = {Topology}, volume = {14}, year = 1975, pages = "173--177" } @ARTICLE{strauchtschinkel:twisted, key = "ST", author = {M. Strauch and Y. Tschinkel}, title = {Height zeta functions of twisted products}, journal = {Math. Res. Lett.}, volume = {4}, year = 1997, pages = "273--282" } @ARTICLETRANS{suslin:quaternion, key = "Su1", author = {A. A. Suslin}, title = {The quaternion homorphism for the function field on a conic}, journal = {Dokl. Akad. Nauk SSSR}, volume = {265}, number = 2, year = 1982, pages = "292--296", tr.journal = {Soviet Math. Dokl.}, tr.volume = {26}, tr.number = 1, tr.year = 1982, tr.pages = "72--77" } @ARTICLETRANS{suslin:normresidue, key = "Su2", author = {A. A. Suslin}, title = {Algebraic K-theory and the norm-residue homomorphism}, journal = {Itogi Nauki i Tekhniki, Sovrem. Probl. Mat. Nov. Dost.}, volume = {25}, year = 1984, pages = "115--208", tr.journal = {J. Soviet Math.}, tr.volume = {30}, tr.year = 1985, tr.pages = "2556--2611" } @ARTICLE{suslin:torsion, key = "S", author = {A. A. Suslin}, title = {Torsion in $K_2$ of fields}, journal = {$K$-theory}, volume = 1, year = 1987, pages = "5--29" } @MISC{suslinvoevodsky:blochkato, key = "SV", author = {A. A. Suslin and V. Voevodsky}, title = {Bloch-Kato conjecture and motivic cohomology with finite coefficients}, note = {\texttt{http:\penalty100//www\penalty100.math.uiuc.edu\penalty100/K-theory/0083}}, year = 1995 } @ARTICLE{swan:quadric, key = "Sw", author = {R. G. Swan}, title = {$K$-theory of quadric hypersurfaces}, journal = {Ann. Math.}, volume = 122, number = 1, year = 1985, pages = "113--154" } @INPROCEEDINGS{swinnertondyer:cubic, key = "S-D", author = {P. Swinnerton-Dyer}, title = {Counting rational points on cubic surfaces}, editor = {C. Ciliberto and E. L. Livorni and A. J. Sommese}, address = {L'Aquila, 1992}, series = {Contemp. Math.}, publisher = {AMS, Providence}, volume = 162, pages = "371--379", year = 1994 } @INCOLLECTION{tate:thesis, key = "Ta", author = {J. T. Tate}, title = {Fourier analysis in number fields and Hecke's zeta functions}, booktitle = {Algebraic number theoy}, editor = {J. W. S. Cassels and A. Fr\"ohlich}, publisher = {Academic press, London}, year = 1967, pages = "305--347" } @BOOK{tenenbaum:analytique, key = "Te", author = {G. Tenenbaum}, title = {Introduction \`a la th\'eorie analytique et probabiliste des nombres}, publisher = {Institut Elie Cartan, Vand\oe uvre l\`es Nancy}, year = 1990 } @ARTICLE{thunder:flag, key = "Th", author = {J. L. Thunder}, title = {Asymptotic estimates for rational points of bounded height on flag varieties}, journal = {Compositio Math.}, volume = {88}, pages = "155--186", year = 1993 } @INPROCEEDINGS{tignol, key = "T", author = {J.-P. Tignol}, title = {Corps \`a involution neutralis\'es par une extension ab\'elienne \'el\'ementaire}, booktitle = {Groupe de Brauer}, address = {Les Plans-sur-Bex}, editor = {M. Kervaire and M. Ojanguren}, series = {Lecture Notes in Math.}, volume = 844, publisher = Springer, year = 1981, pages = "1--34", re.language = "french" } @ARTICLE{tits:representations, key = "Ti", author = {J. Tits}, title = {Repr\'esentations lin\'eaires irr\'eductibles d'un groupe r\'eductif sur un corps quelconque}, journal = {J. Reine Angew. Math.}, volume = 247, pages = {196--220}, year = 1971 } @INPROCEEDINGS{tits:reductive, key = "Ti", author = {J. Tits}, title = {Reductive groups over local fields}, editor = {A. Borel and W. Casselman}, series = {Proc. Sympos. Pure Math.}, Volume = {33 Part 1}, pages = "29--69", publisher = {AMS, Providence}, year = 1979 } @MISC{totaro:chow, key = "To", author = {B. Totaro}, title = {The Chow ring of a classifying space}, note = {preprint}, year = 1997 } @MISC{voevodsky:pretheory, key = "Vo1", author = {V. Voevodsky}, title = {Cohomology theory of presheaves with transfers}, note = {available as {\em Homology of schemes II} \texttt{http:\penalty100//www\penalty100.math.uiuc.edu\penalty100/K-theory/0034}}, year = 1994 } @MISC{voevodsky:triangulated, key = "Vo2", author = {V. Voevodsky}, title = {Triangulated categories of motives over a field}, note = {\texttt{http:\penalty100//www\penalty100% .math\penalty100.uiuc.edu\penalty100/K-theory/0074}}, year = 1995 } @MISC{voevodsky:milnor, key = "Vo3", author = {V. Voevodsky}, title = {The Milnor conjecture}, note = {\texttt{http:\penalty100% //www\penalty100.math\penalty100.uiuc.edu\penalty100/K-theory% \penalty100/0170}}, year = 1996 } @MISC{weibel:products, key = "We", author = {C. Weibel}, title = {Products in higher Chow groups and motivic cohomology}, note = {\texttt{http:\penalty100//www\penalty100.math.uiuc.edu\penalty100/K-theory/0263}}, year = 1998 } @BOOK{weil:adeles, key = "We", author = {A. Weil}, title = {Ad\`eles and algebraic groups}, series = {Progress in Mathematics}, Volume = 23, publisher = {Birkha\"user, Boston, Basel, Stuttgart}, year = 1982 } @ARTICLE{yau:ricci, key = "Ya", author = {S.-T. Yau}, title = {On the Ricci curvature of a compact K\"ahler manifold and the complex Monge-Amp\`ere equation I}, journal = {Comm. Pure Appl. Math.}, volume = 31, pages = {339--411}, year = 1978 }