[1] Rational points on algebraic varieties, (with E. Peyre), Progress in Mathematics 199, Birkhäuser, (2001)
[2] Arithmetic of higher-dimensional algebraic varieties, (with B. Poonen), Progress in Mathematics 226, Birkhäuser, (2003)
[3] Mathematisches Institut, Seminars 2003/04, Universitätsverlag Göttingen, (2004)
[4] Geometric methods in algebra and number theory, (with F. Bogomolov), Progress in Mathematics 235, Birkhäuser, (2004)
[5] Mathematisches Institut, Seminars 2004, Universitätsverlag Göttingen, (2004)
[6] Mathematisches Institut, Seminars 2004/05, Universitätsverlag Göttingen, (2005)
[7] Mathematisches Institut, Summer school Algebraic groups, Göttingen 2005, Universitätsverlag Göttingen (2007)
[8] Analytic Number Theory / A tribute to Gauss and Dirichlet, (with W. Duke), CMI Proceedings series, AMS, (2007)
[9] Eisenstein series and applications, (with W.T. Gan and S. Kudla), Progress in Mathematics 258, Birkhäuser, (2008)
[10] Algebra, Arithmetic and Geometry - Manin Festschrift, (with Yu. Zarhin), Progress in Mathematics 269 and 270, Birkhäuser, (2007)
[11] Arithmetic geometry, Proceedings of the Clay Summer School Göttingen 2006, (with H. Darmon and B. Hassett), CMI Proceedings series, AMS, (2009)
[12] Higher-dimensional geometry over finite fields, Advanced Study Institute 2007 Proceedings, (with D. Kaledin), IOS Press, (2008)
[13] Mathematisches Institut, Trends in mathematics, Courant Colloquium Göttingen, (with R. Meyer and Th. Schick), Universitätsverlag Göttingen, (2008)
[14] Cohomological and geometric approaches to rationality problems, (with F. Bogomolov), Progress in Mathematics 282, Birkhäuser, (2009)
[15] Birational geometry, rational curves, and arithmetic, (with F. Bogomolov and B. Hassett), Springer Verlag, (2013)
[16] Rational points, rational curves and entire holomorphic curves on projective varieties, (with C. Gasbarri, S.S.-Y. Lu, and M. Roth), Contemporary Math. 654, AMS, (2015)
[17] Algebra, Geometry, and Physics in the 21 Century, Kontsevich Festschrift, (with D. Auroux, L. Katzarkov, T. Pantev, and Y. Soibelman), Progress in Mathematics 324, Birkhäuser, (2017)
[18] Geometry over nonclosed fields - Simons Symposium 2015, (with F. Bogomolov and B. Hassett), Springer Verlag, (2017)
[19] Martin Kneser Collected Works, (with U. Rehmann), Springer Verlag, (2021)
[20]
Manin memorial, in appear in
Proceedings Simons Symposia, Springer Verlag, (2024)
Research papers
[1] Rational points of bounded height on Fano varieties (with J. Franke, Yu. I. Manin), Inventiones Math., 95, 421-435, (1989)
[2] Points of bounded height on Del Pezzo surfaces, (with Yu. I. Manin), Compositio Math., 85(3), 315-332, (1993)
[3] Rational points of bounded height on compactifications of anisotropic tori, (with V. Batyrev), Intern. Math. Research Notices, 12, 591-635, (1995)
[4] Height zeta functions of toric varieties, (with V. Batyrev), Algebraic geometry, 5, (Manin's Festschrift), Journ. Math. Sci., 82, no. 1, 3220-3239, (1996)
[5] Rational points on some Fano cubic bundles, (with V. Batyrev), C. R. Acad. Sci., Paris, 323, Ser. I, 41-46, (1996)
[6] Height zeta functions of twisted products, (with M. Strauch), Math. Res. Letters, 4, 273-282, (1997)
[7] Manin's conjecture for toric varieties, (with V. Batyrev), Journ. of Alg. Geom., 7, no. 1, 15-53, (1998)
[8] Tamagawa numbers of polarized algebraic varieties, (with V. Batyrev), Asterisque, 251, 299-340, (1998)
[9] Height zeta functions of toric bundles over flag varieties, (with M. Strauch), Selecta Math. (N.S.), 5, no. 3, 325-396, (1999)
[10] Tamagawa numbers of diagonal cubic surfaces, (with E. Peyre), Math. Comp., 70, 367-387, (2001)
[11] Torseurs arithmetiques et espaces fibres, (with A. Chambert-Loir), "Rational points on algebraic varieties", 37-70, Progress in Math. 199, Birkhäuser, (2001)
[12] Rational points on quartics, (with J. Harris), Duke Math. Journ., 104, no. 3, 477-500, (2000)
[13] On the density of rational points on elliptic fibrations, (with F. Bogomolov), Journ. Reine und Angew. Math., 511, 87-93, (1999)
[14] Density of rational points on Enriques surfaces, (with F. Bogomolov), Math. Res. Letters, 5, 623-628, (1998)
[15] Fonctions zeta des hauteurs des espaces fibres, (with A. Chambert-Loir), "Rational points on algebraic varieties", 71-115, Progress in Math. 199, Birkhäuser, (2001)
[16] Density of rational points on elliptic K3 surfaces, (with F. Bogomolov), Asian Journ. of Math., 4, no. 2, 351-368, (2000)
[17] Points of bounded height on equivariant compactifications of vector groups I, (with A. Chambert-Loir), Compositio Math., 124(1), 65-93, (2000)
[18] Tamagawa numbers of diagonal cubic surfaces of higher rank, (with E. Peyre), "Rational points on algebraic varieties", 275-305, Progress in Math. 199, Birkhäuser, (2001)
[19] Geometry of equivariant compactifications of Gan, (with B. Hassett), Intern. Math. Research Notices, 22, 1211-1230, (1999)
[20] Points of bounded height on equivariant compactifications of vector groups II, (with A. Chambert-Loir), Journ. of Number Theory, 85, no. 2, 172-188, (2000)
[21] Rational curves on holomorphic symplectic fourfolds, (with B. Hassett), GAFA, 11, no. 6, 1201-1228, (2001), Erratum
[22] Abelian fibrations and rational points on symmetric products, (with B. Hassett), Intern. Journ. of Math., 11, no. 9, 1163-1176, (2000)
[23] On the distribution of points of bounded height on equivariant compactifications of vector groups, (with A. Chambert-Loir), Inventiones Math., 148, no. 2, 421-452, (2002)
[24] Monodromy of elliptic surfaces, (with F. Bogomolov), "Galois Groups and Fundamental Groups", (L. Schneps, ed.), 167-181, MSRI Publications vol. 41, Cambridge Univ. Press, (2003)
[25] Density of integral points on algebraic varieties, (with B. Hassett), "Rational points on algebraic varieties", 169-197, Progress in Math. 199, Birkhäuser, (2001)
[26] Lagrangian subvarieties of abelian fourfolds, (with F. Bogomolov), Asian Journ. of Math., 4, no. 1, 19-36, (2000)
[27] Commuting elements in Galois groups of function fields, (with F. Bogomolov), "Motives, Polylogarithms and Hodge theory", (F. Bogomolov, L. Katzarkov eds.), 75-120, International Press, (2002)
[28] Distribution of rational points on equivariant compactifications of inner forms of reductive groups, (with J. Shalika and R. Takloo-Bighash), 50 pp., (2001)
[29] Rationality of moduli of elliptic fibrations with fixed monodromy, (with F. Bogomolov and T. Petrov), GAFA, 12, no. 6, 1105-1160, (2002)
[30] Simple examples of symplectic four-manifolds with exotic properties, (with F. Bogomolov), Acta Appl. Math., 75, no. 1-3, 25-28, (2003)
[31] On the effective cone of the moduli space of pointed rational curves, (with B. Hassett), "Topology and Geometry" (A. J. Berrick, M. C. Leung, X. W. Xu eds.), Contemporary Math., 314, 83-96, (2002)
[32] Rational points and automorphic forms, (with J. Shalika and R. Takloo-Bighash), "Contributions to Automorphic Forms, Geometry, and Number Theory", (H. Hida, D. Ramakrishnan, F. Shahidi eds.), 733-742, Johns Hopkins University Press, (2004)
[33] Height zeta functions of equivariant compactifications of the Heisenberg group, (with J. Shalika), "Contributions to Automorphic Forms, Geometry, and Number Theory", (H. Hida, D. Ramakrishnan, F. Shahidi eds.), 743-771, Johns Hopkins University Press, (2004)
[34] Unramified correspondences, (with F. Bogomolov), "Algebraic Number Theory and Algebraic Geometry" (S. Vostokov, Yu. Zarhin eds.), Contemporary Math. 300, 17-26, (2002)
[35] Integral points on punctured abelian surfaces, (with A. Kresch), "Algorithmic number theory", Proceedings of ANTS V, 198-204, LNCS 2369, Springer, (2002)
[36] Integral points and effective cones of moduli spaces of stable maps, (with B. Hassett), Duke Math. Journ., 120, no. 3, 577-599, (2003)
[37] Special elliptic fibrations, (with F. Bogomolov), Proceedings of the Fano Conference, (A. Collino, A. Conte, M. Marchisio, eds.), 223-234, (2004)
[38] On the arithmetic of Del Pezzo surfaces of degree two, (with A. Kresch), Proceedings London Math. Soc., (3) 89, 545-569, (2004)
[39] Reconstruction of function fields, (with F. Bogomolov), GAFA, 18, no. 2, 400-462, (2008)
[40] Universal torsors and Cox rings, (with B. Hassett), "Arithmetic of higher-dimensional algebraic varieties", 149-173, Progress in Math. 226, Birkhäuser, (2003)
[41] Rational points on compactifications of semi-simple groups of rank 1, (with J. Shalika and R. Takloo-Bighash), "Arithmetic of higher-dimensional algebraic varieties", 205-233, Progress in Math. 226, Birkhäuser, (2003)
[42] Rational curves and points on K3 surfaces, (with F. Bogomolov), Amer. Journ. of Math., 127, no. 4, 825-835, (2005)
[43] Couniformization of curves over number fields, (with F. Bogomolov), "Geometric methods in algebra and number theory", 43-57, Progress in Math. 235, Birkhäuser, (2004)
[44] Weak approximation over function fields, (with B. Hassett), Inventiones Math., 163, no. 1, 171-190, (2006)
[45] Curves in abelian varieties over finite fields, (with F. Bogomolov), Intern. Math. Research Notices, 4, 233-238, (2005)
[46] Approximation at places of bad reduction for rationally connected varieties, (with B. Hassett), Pure and Applied Math Quarterly, Bogomolov Festschrift, 4, no. 3, 743-766, (2008)
[47] Potential density of rational points for K3 surfaces over function fields, (with B. Hassett), Amer. Journ. of Math., 130, no. 5, 1263-1278, (2008)
[48] Algebraic varieties over small fields, (with F. Bogomolov), Special semester on Arithmetic geometry at Centro Ennio De Giorgi, 53-71, (2007)
[49] Universal torsors over Del Pezzo surfaces and rational points, (with U. Derenthal), "Equidistribution in Number theory, An Introduction", (A. Granville, Z. Rudnick eds.), 169-196, NATO Science Series II, 237, Springer, (2007)
[50] Rational points on compactifications of semi-simple groups, (with J. Shalika and R. Takloo-Bighash), Journ. of the AMS, 20, 1135-1186, (2007)
[51] Weak approximation for hypersurfaces of low degree, (with B. Hassett), Proceedings Symp. Pure Math. AMS, 80 (2), 937-955, (2009)
[52] Effectivity of Brauer-Manin obstructions, (with A. Kresch), Advances in Math., 218, no. 1, 1-27, (2008)
[53] Log Fano varieties over function fields of curves, (with B. Hassett), Inventiones Math., 171, no. 1., 7-21, (2008)
[54] Brauer-Manin obstructions for integral points, (with A. Kresch), Bulletin LMS, 40, no. 6, 995-1001, (2008)
[55] Moving and ample cones of holomorphic symplectic fourfolds, (with B. Hassett), GAFA, 19, no. 4, 1065-1080, (2009)
[56] A Torelli theorem for curves over finite fields, (with F. Bogomolov and M. Korotiaev), Pure and Applied Math Quarterly, Tate Festschrift, 6, no. 1, 245-294, (2010)
[57] Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces, (with B. Hassett), Journ. Inst. Math. Jussieu, 6, no. 1, 125-153, (2010)
[58] On a theorem of Tate, (with F. Bogomolov), CEJM, 6, no. 3, 343-350, (2008)
[59] Unramified cohomology of finite groups of Lie type, (with F. Bogomolov and T. Petrov), "Rationality problems", 55-73, Progress in Math. 282, Birkhäuser, (2009)
[60] Milnor K2 and field homomorphisms, (with F. Bogomolov), Surveys in Differential Geometry XIII, 223-244, (2009)
[61] Co-fibered products of algebraic curves, (with F. Bogomolov), CEJM, 7, no. 3, 382-386, (2009)
[62] Igusa integrals and volume asymptotics in analytic and adelic geometry, (with A. Chambert-Loir), Confluentes Mathematici, 2, no. 3, 351-429, (2010)
[63] Constructing rational curves on K3 surfaces, (with F. Bogomolov and B. Hassett), Duke Math. Journ., 157, no. 3, 535-550, (2011)
[64] Intersection numbers of extremal rays on holomorphic symplectic varieties, (with B. Hassett), Asian Journ. of Math., 14, no. 3., 303-322, (2010)
[65] Effectivity of Brauer-Manin obstructions on surfaces, (with A. Kresch), Advances in Math., 226, 4131-4144, (2011)
[66] Monodromy and rational curves on holomorphic symplectic varieties, (with B. Hassett), 9 pp., (2009)
[67] Integral points of bounded height on partial equivariant compactifications of vector groups, (with A. Chambert-Loir), Duke Math. Journal, 161, no. 15, 2799-2836, (2012)
[68] Reconstruction of higher-dimensional function fields, (with F. Bogomolov), Moscow Math. Journal, 11, no. 2, 185-204, (2011)
[69] Hodge theory and Lagrangian planes on generalized Kummer fourfolds, (with B. Hassett), Moscow Math. Journal, 13, no. 1, 33-56, (2013)
[70] Integral points of bounded height on toric varieties, (with A. Chambert-Loir), 28 pp., (2010)
[71] Introduction to birational anabelian geometry, (with F. Bogomolov), in "Current Developments in Algebraic Geometry", (L. Caporaso, J. McKernan, M. Mustata, M. Popa eds.), 17-63, MSRI Publications vol. 59, Cambridge Univ. Press, (2012)
[72] Characterizing projective spaces on deformations of Hilbert schemes of K3 surfaces, (with D. Harvey and B. Hassett), Comm. Pure and Applied Math., 65, no. 2., 264-286, (2012)
[73] Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups, (with S. Tanimoto), Contemporary Math., 566, 119-157, (2012)
[74] Integral points of bounded height on compactifications of semi-simple groups, (with R. Takloo-Bighash), Amer. Journ. of Math., 135, no. 5, 1433-1448, (2013)
[75] Spaces of sections of quadric surface fibrations over curves, (with B. Hassett), Contemporary Math., 564, 227-249, (2012)
[76] Multiple mixing for adele groups and rational points, (with A. Gorodnik, R. Takloo-Bighash), Europ. Journ. of Math., 1(3), 441-461, (2015)
[77] Galois theory and projective geometry, (with F. Bogomolov), Comm. Pure and Applied Math., 66, no. 9, 1335-1359, (2013)
[78] Effective computation of Picard groups and Brauer-Manin obstructions of degree two K3 surfaces over number fields, (with B. Hassett and A. Kresch), Rendiconti del Circolo Matematico di Palermo, 62, 137-151, (2013)
[79] Embedding pointed curves in K3 surfaces, (with B. Hassett), Math. Zeitschrift, 278, Issue 3-4, 927-953, (2014)
[80] Quartic Del Pezzo surfaces over function fields of curves, (with B. Hassett), CEJM, 12(3), 395-420, (2014)
[81] Balanced line bundles and equivariant compactifications of homogeneous spaces, (with B. Hassett and S. Tanimoto), Intern. Math. Research Notices, vol. 2015, no. 15, 6375-6410, (2015)
[82] Mori cones of holomorphic symplectic varieties of K3 type, (with A. Bayer and B. Hassett), Ann. Sci. ENS, (4) 48, no. 4, 941–950, (2015)
[83] On the moduli space of degree 4 Del Pezzo surfaces, (with B. Hassett and A. Kresch), Development of Moduli Theory (Mukai Festschrift), Advanced Studies in Pure Math., 69, 349-386, (2016)
[84] Universal spaces for unramified Galois cohomology, (with F. Bogomolov), in Brauer groups and obstruction problems: moduli spaces and arithmetic, (A. Auel, B. Hassett, A. Varilly-Alvarado, and B. Viray eds.), 57-86, Progress in Math. 320, Birkhäuser, (2017)
[85] Height zeta functions of equivariant compactifications of unipotent groups, (with J. Shalika), Comm. Pure and Applied Math., 69, no. 4, 693–733, (2016)
[86] Variation of Neron-Severi ranks of reductions of K3 surfaces, (with E. Costa), Experimental Math., 23, no. 4, 475–481, (2014)
[87] Rational points on K3 surfaces and derived equivalence, (with B. Hassett), in Brauer groups and obstruction problems: moduli spaces and arithmetic, (A. Auel, B. Hassett, T. Varilly-Alvarado, and B. Viray, eds.), 87-113, Progress in Math. 320, Birkhäuser, (2017)
[88] Balanced line bundles on Fano varieties, (with B. Lehmann and S. Tanimoto), Journ. Reine und Angew. Math., 743, 91-131, (2018)
[89] Stable rationality and conic bundles, (with B. Hassett and A. Kresch), Math. Annalen, 365(3), 1201-1217, (2016)
[90] Extremal rays and automorphisms of holomorphic symplectic varieties, (with B. Hassett), "K3 surfaces and their moduli", (G. Farkas and G. van der Geer, eds.), 73-95, Progress in Math. 315, Birkhäuser, (2016)
[91] On stable rationality of Fano threefolds and Del Pezzo fibrations, (with B. Hassett), Journ. Reine und Angew. Math., 751, 275-287, (2019)
[92] Stable rationality of quadric surface bundles over surfaces, (with B. Hassett and A. Pirutka), Acta Mathematica, 220, 341–365, (2018)
[93] A very general quartic double fourfold is not stably rational, (with B. Hassett and A. Pirutka), Algebraic Geometry, 6(1), 64-75, (2019)
[94] Cubic fourfolds fibered in Del Pezzo surfaces of degree six, (with N. Addington, B. Hassett, and A. Varilly-Alvarado), Amer. Journ. of Math., 141, no. 6, 1479-1500, (2019)
[95] Torsion of elliptic curves and unlikely intersections, (with F. Bogomolov and H. Fu), in Geometry and Physics: Volume I: A Festschrift in honour of Nigel Hitchin, Oxford University Press, 19-38, (2018)
[96] Intersections of three quadrics in P7, (with B. Hassett and A. Pirutka), Surveys in Differential Geometry, 22(1), 259-274, (2017)
[97] Homomorphisms of multiplicative groups of fields preserving algebraic dependence, (with F. Bogomolov and M. Rovinsky), Europ. Journ. of Math., 5(3), 656–685, (2019)
[98] Models of Brauer-Severi surface bundles, (with A. Kresch), Moscow Math. Journal, 19 no. 3, 549-595, (2019)
[99] Specialization of birational types, (with M. Kontsevich), Inventiones Math., 217, no. 2, 415-432, (2019)
[100] Stable rationality of Brauer-Severi surface bundles, (with A. Kresch), Manuscripta Math., 161(1), 1-14, (2020)
[101] Noether's problem and descent, (with F. Bogomolov), ICCM Notices, 6, no. 2, 25-31, (2018)
[102] Stable rationality in smooth families of threefolds, (with B. Hassett and A. Kresch), Duke Math. Journ., 172, no. 6, 1145–1172, (2023)
[103] Involution surface bundles over surfaces, (with A. Kresch), Math. Zeitschrift, 296, no. 3-4, 1081–1100, (2020)
[104] Brauer groups of involution surface bundles, (with A. Kresch), Pure and Applied Math. Quarterly, Mumford Festschrift, 17, no. 2, 649-669, (2021)
[105] Models of triple covers, (with A. Kresch), Mat. Zametki, 105(5), 798-800, (2019)
[106] Equivariant birational geometry and modular symbols, (with M. Kontsevich and V. Pestun), J. Eur. Math. Soc. (JEMS), 25, no. 1, 153–202, (2023)
[107] Rationality of complete intersections of two quadrics over nonclosed fields, (with B. Hassett, and an appendix by J.-L. Colliot-Thelene), Enseign. Math., 67, no. 1-2, 1-44, (2021)
[108] Varieties of planes on intersections of three quadrics, (with B. Hassett), Europ. Journ. of Math., 7(2), 613-632, (2021)
[109] Fibrations in sextic del Pezzo surfaces with mild singularities, (with A. Kresch), Rendiconti del Seminario Matematico della Università di Padova, 148, 65–82, (2022)
[110] Cycle class maps and birational invariants, (with B. Hassett), Comm. Pure and Applied Math., 74, no. 12, 2675-2698, (2021)
[111] Birational types of algebraic orbifolds, (with A. Kresch), Matematicheskii Sbornik, 212, no. 3, 54-67, (2021)
[112] Rationality of Fano threefolds of degree 18 over nonclosed fields, (with B. Hassett), Rationality of Varieties, Proceedings Schiermonnikoog, (G. Farkas, G. van der Geer, M. Shen, L. Taelman, eds.), 237-247, Progress in Math. 342, Birkhäuser, (2021)
[113] Equivariant birational types and Burnside volume, (with A. Kresch), Annali della Scuola Normale Superiore di Pisa, (5) 23, no. 2, 1013–1052, (2022)
[114] Symbols and equivariant birational geometry in small dimensions, (with B. Hassett and A. Kresch), Rationality of Varieties, Proceedings Schiermonnikoog, (G. Farkas, G. van der Geer, M. Shen, L. Taelman, eds.), 201-236, Progress in Math. 342, Birkhäuser, (2021)
[115] Arithmetic properties of equivariant birational types, (with A. Kresch), Research in Number Theory 7(2), (2021)
[116] Rationality of even-dimensional intersections of two real quadrics, (with B. Hassett and J. Kollár), Comm. Math. Helvetici, 97, no. 1, 183-207, (2022)
[117] Equivariant Burnside groups: structure and operations, (with A. Kresch), 21 pp., (2021)
[118] Equivariant geometry of odd-dimensional complete intersections of two quadrics, (with B. Hassett), Pure Appl. Math. Q., 18, no. 4, 1555–1597, (2022)
[119] Equivariant Burnside groups and representation theory, (with A. Kresch), Selecta Math., 28(4), (2022)
[120] Equivariant Burnside groups and toric varieties, (with A. Kresch), Rend. Circ. Mat. Palermo (2) 72, no. 5, 3013–3039, (2023)
[121] Combinatorial Burnside groups, (with Kaiqi Yang and Zhijia Zhang), Research in Number Theory, 8(2), (2022)
[122] Cohomology of finite subgroups of the plane Cremona group, (with A. Kresch), 18 pp., to appear in Algebraic Geometry and Physics, (2022)
[123] Torsors and stable equivariant birational geometry, (with B. Hassett), Nagoya Math. J., 250, 275–297, (2023)
[124] Equivariant derived equivalence and rational points on K3 surfaces, (with B. Hassett), Communications in Number Theory and Physics, 17, no. 2, 293-312, (2023)
[125] Burnside groups and orbifold invariants of birational maps, (with A. Kresch), 13 pp., to appear in Collino Festschrift, Trends in Mathematics, Birkhäuser, (2023)
[126] Involutions on K3 surfaces and derived equivalence, (with B. Hassett), 42 pp., (2022)
[127] Burnside rings and volume forms with logarithmic poles, (with A. Chambert-Loir and M. Kontsevich), 28 pp., (2023)
[128] Equivariant birational geometry of linear actions, (with Kaiqi Yang and Zhijia Zhang), EMS Surveys in Mathematical Sciences, 11, 235-276, (2024)
[129] Equivariant birational geometry of cubic fourfolds and derived categories, (with Chr. Böhning and H.-Chr. Graf von Bothmer, and an appendix by Brendan Hassett), 28 pp., (2023)
[130] Equivariant geometry of the Segre cubic and the Burkhardt quartic, (with I. Cheltsov and Zh. Zhang), 39 pp., to appear in Selecta Math.
[131] Equivariant birational types and derived categories, (with Chr. Böhning and H.-Chr. Graf von Bothmer), 32 pp., to appear in Mathematische Nachrichten
[132] Birational geometry of Deligne-Mumford stacks, (with A. Kresch), 64 pp., (2023)
[133] Unramified Brauer group of quotient spaces by finite groups, (with A. Kresch), 24 pp., to appear in J. of Algebra
[134] Equivariant geometry of singular cubic threefolds, (with I. Cheltsov and Zh. Zhang), 65 pp., (2024)
[135] Rationality of forms of M0,n, (with B. Hassett and Zh. Zhang), 36 pp., (2024)
[136] Intermediate Jacobians and linearizability, (with T. Ciurca and S. Tanimoto), 35 pp., (2024)
[137] Equivariant geometry of singular cubic threefolds, II, (with I. Cheltsov, L. Marquand, and Zh. Zhang), 51 pp., (2024)
[138] Stable equivariant birationalities of cubic and degree 14 Fano threefolds, (with Zh. Zhang), 22 pp., (2024)
[139]
Equivariant geometry of low-dimensional quadrics, (with B. Hassett), 16 pp., (2024)
Miscellanea
[1] Rational points and heights, (Russian), Proceedings of the XXVIth All-Union Sci. Stud. Conference (Novosibirsk, 1988), Novosibirsk. Gos. Univ., 80-84, (1988)
[2] Generalised Chatelet varieties, (Russian), Proceedings of the conference "Constructive Methods and Algorithms in Number Theory", Academy of Sci. BSSR, Minsk, USSR, 163, (1989)
[3] Arithmetic of algebraic surfaces, Ph.D. Thesis, M.I.T., (1992)
[4] Finite heights and rational points on surfaces, Advances in number theory (Kingston, ON, 1991), 319--329, Oxford Sci. Publ., Oxford Univ. Press, New York, (1993)
[5] On rational points, Proceedings "Intern. Conf. Algebraic Geometry", Sendai, 157-172, (1993)
[6] Rational points on toric varieties, (with V. Batyrev), Number theory (Halifax, NS, 1994), CMS Conf. Proc., 15, AMS, Providence, RI, 39-48, (1995)
[7] Height zeta functions, Proceedings Arbeitstagung Bonn, (1997)
[8] Lectures on height zeta functions of toric varieties, "Geometry of Toric Varieties", Seminaires et Congres, 6, 227-247, (2002)
[9] Resolution of singularities, (with F. Bogomolov), Review of a book by H. Hauser et al., Bulletin AMS, 39, 95-100, (2002)
[10] Fujita's program and rational points, "Higher Dimensional Varieties and Rational Points", (K. J. Böröczky, J. Kollár, T. Szamuely eds.), Bolyai Society Mathematical Studies 12, 283-310, Springer Verl., (2003)
[11] On curve correspondences, (with F. Bogomolov), "Communications in Arithmetic Fundamental Groups and Galois Theory", RIMS, 157-166, (2002)
[12] About the cover: On the distribution of primes - Gauss' tables, Bulletin AMS, 43, 89-91, (2006)
[13] Geometry over nonclosed fields, ICM talk, 15 pp., (2006)
[14]
About the
cover: Invariants,
Bulletin AMS, 44, 433-437, (2007)
Minkowski to Hilbert, February 2, 1892,
1,
2,
3,
4
(courtesy of Staats- und
Universitätsbibliothek Göttingen)
[15] The Felix Klein protocols, (with E. Chislenko), Notices AMS, 54 (8), 958-968, (2007)
[16] Algebraic varieties with many rational points, Clay Summer School Proceedings, 92 pp., (2008)
[17] Die Felix Klein Protokolle, 11 pp., (2008)
[18] Geometrie der Zahlen - zum 150. Geburtstag von Hermann Minkowski, Mitteilungen der DMV, 22 (4), 228-233, (2014)
[19] Vladimir Voevodsky -- work and destiny, (with M. Bickford and F. Bogomolov), Eur. Math. Soc. Newsl. 106, 30–31, (2017)
[20] Potentially stably rational del Pezzo surfaces over nonclosed fields, (with K. Yang), in Combinatorial and Additive Number Theory III, ed. M. Nathanson, Springer, 227-233, (2020)
[21] Rationality and specialization, Afrika Matematika, 31(1), 191-205, (2020)
[22] Equivariant birational types, Oberwolfach reports, 3 pp., (2021)
[23] Memorial article for Yuri Manin, (with F. Bogomolov, eds.), Notices AMS, (2023)
[24] Birational types, (with M. Kontsevich), Bejing ICBS, (2023)
[25] Equivariant birational types, ZAG seminar, (2024)
