@article {Birch, AUTHOR = {Birch, B. J.}, TITLE = {Forms in many variables}, JOURNAL = {Proc. Roy. Soc. Ser. A}, VOLUME = {265}, YEAR = {1961/1962}, PAGES = {245--263}, MRCLASS = {10.15}, MRNUMBER = {MR0150129 (27 \#132)}, MRREVIEWER = {J. V. Armitage}, } @article {Brauer, AUTHOR = {Brauer, R.}, TITLE = {A note on systems of homogeneous algebraic equations}, JOURNAL = {Bull. Amer. Math. Soc.}, VOLUME = {51}, YEAR = {1945}, PAGES = {749--755}, MRCLASS = {09.0X}, MRNUMBER = {MR0013127 (7,108i)}, MRREVIEWER = {G. Whaples}, } @article {BW, AUTHOR = {Bruce, J. W. and Wall, C. T. C.}, TITLE = {On the classification of cubic surfaces}, JOURNAL = {J. London Math. Soc. (2)}, FJOURNAL = {The Journal of the London Mathematical Society. Second Series}, VOLUME = {19}, YEAR = {1979}, NUMBER = {2}, PAGES = {245--256}, ISSN = {0024-6107}, CODEN = {JLMSAK}, MRCLASS = {14J25 (14J17)}, MRNUMBER = {MR533323 (80f:14021)}, MRREVIEWER = {I. Dolgachev}, } @incollection {CTG, AUTHOR = {Colliot-Th{\'e}l{\`e}ne, J. L. and Gille, P.}, TITLE = {Remarques sur l'approximation faible sur un corps de fonctions d'une variable}, BOOKTITLE = {Arithmetic of higher-dimensional algebraic varieties (Palo Alto, CA, 2002)}, SERIES = {Progr. Math.}, VOLUME = {226}, PAGES = {121--134}, PUBLISHER = {Birkh\"auser Boston}, ADDRESS = {Boston, MA}, YEAR = {2004}, MRCLASS = {11G35 (14G25)}, MRNUMBER = {2 029 865}, } @article {Co, AUTHOR = {Corti, Alessio}, TITLE = {Del {P}ezzo surfaces over {D}edekind schemes}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {144}, YEAR = {1996}, NUMBER = {3}, PAGES = {641--683}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {14J26 (14G27 14J10)}, MRNUMBER = {MR1426888 (98e:14037)}, MRREVIEWER = {Ted Chinburg}, } @article {GHS, AUTHOR = {Graber, T. and Harris, J. and Starr, J.}, TITLE = {Families of rationally connected varieties}, JOURNAL = {J. Amer. Math. Soc.}, FJOURNAL = {Journal of the American Mathematical Society}, VOLUME = {16}, YEAR = {2003}, NUMBER = {1}, PAGES = {57--67 (electronic)}, ISSN = {0894-0347}, MRCLASS = {14M20 (14D05 14D22)}, MRNUMBER = {2003m:14081}, MRREVIEWER = {Alexandr V. Pukhlikov}, } @article{GHMS, AUTHOR = {Graber, T. and Harris, J. and Mazur, B. and Starr, J.}, TITLE = {Rational connectivity and sections of families over curves}, JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)}, FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure. Quatri\`eme S\'erie}, YEAR = { }, NOTE = {to appear}, } @book {GH, AUTHOR = {Griffiths, P. and Harris, J.}, TITLE = {Principles of algebraic geometry}, NOTE = {Pure and Applied Mathematics}, PUBLISHER = {Wiley-Interscience [John Wiley \& Sons]}, ADDRESS = {New York}, YEAR = {1978}, PAGES = {xii+813}, ISBN = {0-471-32792-1}, MRCLASS = {14-01}, MRNUMBER = {MR507725 (80b:14001)}, MRREVIEWER = {Gerhard Pfister}, } @article {HMP, AUTHOR = {Harris, J. and Mazur, B. and Pandharipande, R.}, TITLE = {Hypersurfaces of low degree}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {95}, YEAR = {1998}, NUMBER = {1}, PAGES = {125--160}, ISSN = {0012-7094}, CODEN = {DUMJAO}, MRCLASS = {14J70 (14M20 14N05)}, MRNUMBER = {MR1646558 (99j:14043)}, MRREVIEWER = {Fyodor L. Zak}, } @misc{HT05, AUTHOR = {Hassett, B. and Tschinkel, Y.}, TITLE = {Approximation at places of bad reduction for rationally connected varieties}, YEAR = {2005}, NOTE = {submitted preprint}, } @article {HT06, AUTHOR = {Hassett, B. and Tschinkel, Y.}, TITLE = {Weak approximation over function fields}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {163}, NUMBER = {1}, YEAR = {2006}, PAGES = {171--190}, } @book {kollar, AUTHOR = {Koll{\'a}r, J.}, TITLE = {Rational curves on algebraic varieties}, SERIES = {Ergebnisse der Math.}, VOLUME = {32}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1996}, PAGES = {viii+320}, ISBN = {3-540-60168-6}, MRCLASS = {14-02 (14C05 14E05 14F17 14J45)}, MRNUMBER = {98c:14001}, MRREVIEWER = {Yuri G. Prokhorov}, } @article {KMM, AUTHOR = {Koll{\'a}r, J. and Miyaoka, Y. and Mori, S.}, TITLE = {Rationally connected varieties}, JOURNAL = {J. Algebraic Geom.}, FJOURNAL = {Journal of Algebraic Geometry}, VOLUME = {1}, YEAR = {1992}, NUMBER = {3}, PAGES = {429--448}, ISSN = {1056-3911}, MRCLASS = {14E30 (14E05 14E35)}, MRNUMBER = {MR1158625 (93i:14014)}, MRREVIEWER = {Yuri G. Prokhorov}, } @article {Na, AUTHOR = {Nagata, M.}, TITLE = {A generalization of the imbedding problem of an abstract variety in a complete variety}, JOURNAL = {J. Math. Kyoto Univ.}, FJOURNAL = {Journal of Mathematics of Kyoto University}, VOLUME = {3}, YEAR = {1963}, PAGES = {89--102}, ISSN = {0023-608X}, MRCLASS = {14.08}, MRNUMBER = {MR0158892 (28 \#2114)}, } @incollection {PS, EDITOR = {Koll\'ar, J.}, AUTHOR = {Paranjape, K. and Srinivas, V.}, BOOKTITLE = {Flips and abundance for algebraic threefolds}, TITLE = {Unirationality of the general complete intersection of small multidegree}, SERIES = {Ast\'erisque}, NUMBER = {211}, PUBLISHER = {Soci\'et\'e Math\'ematique de France}, ADDRESS = {Paris}, YEAR = {1992}, PAGES = {241--248}, ISSN = {0303-1179}, MRCLASS = {14E30 (14E35 14M10)}, MRNUMBER = {MR1225842 (94f:14013)}, MRREVIEWER = {Mark Gross}, } @article {Skinner, AUTHOR = {Skinner, C. M.}, TITLE = {Forms over number fields and weak approximation}, JOURNAL = {Compositio Math.}, FJOURNAL = {Compositio Mathematica}, VOLUME = {106}, YEAR = {1997}, NUMBER = {1}, PAGES = {11--29}, ISSN = {0010-437X}, CODEN = {CMPMAF}, MRCLASS = {14G05 (11G35 11P55)}, MRNUMBER = {MR1446148 (98b:14021)}, MRREVIEWER = {Dan Abramovich}, } @article{Zhang, AUTHOR = {Qi, Z.}, TITLE = {Rational connectedness of log $Q$-Fano varieties}, JOURNAL = {J. reine angew. Math.}, FJOURNAL ={Journal f\"ur die reine und angewandte Mathematik (Crelles Journal)}, YEAR = { }, NOTE = {to appear, available as math.AG/0408301}, }