Edit Profile (opens in new tab) Tschinkel, Yuri Co-Author Distance Author ID: tschinkel.yuri Published as: Tschinkel, Yuri; Tschinkel, Yu.; Tschinkel, Y. more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Videos: carmin.tv Documents Indexed: 154 Publications since 1989, including 18 Additional arXiv Preprints 22 Contributions as Editor Co-Authors: 70 Co-Authors with 164 Joint Publications 1,765 Co-Co-Authors all top 5 Co-Authors 12 single-authored 50 Hassett, Brendan 35 Bogomolov, Fedor Alekseivich 26 Kresch, Andrew 11 Chambert-Loir, Antoine 6 Batyrev, Victor V. 6 Zhang, Zhijia 5 Shalika, Joseph A. 5 Takloo-Bighash, Ramin 4 Tanimoto, Sho 3 Cheltsov, Ivan Anatol’evich 3 Kontsevich, Maxim 3 Manin, Yuriĭ Ivanovich 3 Peyre, Emmanuel 3 Pirutka, Alena 3 Yang, Kaiqi 2 Böhning, Christian 2 Franke, Jens 2 Graf von Bothmer, Hans-Christian 2 Meyer, Ralf 2 Petrov, Tihomir 2 Schick, Thomas 2 Strauch, Matthias 2 Zarkhin, Yuriĭ Gennad’evich 1 Addington, Nicolas M. 1 Auroux, Denis 1 Balmaceda, Jose Maria P. 1 Bayer, Arend 1 Bickford, Mark 1 Chislenko, Eugene 1 Ciurca, Tudor 1 Colliot-Thélène, Jean-Louis 1 Costa, Edgar 1 Darmon, Henri René 1 Debarre, Olivier 1 Derenthal, Ulrich 1 Duke, William Drexel 1 El Yacoubi, Nouzha 1 Ellwood, David Alexandre 1 Farkas, Gavril 1 Foupouagnigni, Mama 1 Fu, Hang 1 Gan, Wee Teck 1 Gasbarri, Carlo 1 Gorodnik, Alexander 1 Harris, Joseph Daniel 1 Harvey, David 1 Jofré, Alejandro 1 Kaledin, Dmitry B. 1 Katzarkov, Ludmil 1 Kneser, Martin 1 Koch, Lena 1 Kollár, János 1 Korotiaev, Mikhail 1 Kudla, Stephen S. 1 Lehmann, Brian 1 Lu, Steven Shin-Yi 1 Marquand, Lisa 1 Ogana, Wandera 1 Pantev, Tony G. 1 Parimala, Raman 1 Pestun, Vasily 1 Piccione, Paolo 1 Pineda, Angel R. 1 Poonen, Bjorn 1 Rehmann, Ulf 1 Roth, Mike 1 Rovinskiĭ, Marat Zefirovich 1 Roy, Marie-Françoise 1 Scharlau, Rudolf 1 Soibelman, Yan S. 1 Sy, Polly Wee 1 Vakil, Ravi 1 Várilly-Alvarado, Anthony 1 Ziegler, Günter Matthias all top 5 Serials 8 Progress in Mathematics 6 Duke Mathematical Journal 6 Inventiones Mathematicae 4 Communications on Pure and Applied Mathematics 4 American Journal of Mathematics 4 IMRN. International Mathematics Research Notices 4 Geometric and Functional Analysis. GAFA 4 Pure and Applied Mathematics Quarterly 3 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 3 Journal für die Reine und Angewandte Mathematik 3 The Asian Journal of Mathematics 3 Moscow Mathematical Journal 3 Central European Journal of Mathematics 3 European Journal of Mathematics 2 Advances in Mathematics 2 Compositio Mathematica 2 Mathematische Zeitschrift 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Selecta Mathematica. New Series 2 Mathematical Research Letters 2 Clay Mathematics Proceedings 2 Research in Number Theory 2 Simons Symposia 1 Mathematical Notes 1 Mathematics of Computation 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Acta Applicandae Mathematicae 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 L’Enseignement Mathématique. 2e Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Journal of Mathematical Sciences (New York) 1 Sbornik: Mathematics 1 European Mathematical Society Newsletter 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Contemporary Mathematics 1 Communications in Number Theory and Physics 1 Confluentes Mathematici 1 NATO Science for Peace and Security Series D: Information and Communication Security 1 Afrika Matematika 1 ICCM Notices 1 Algebraic Geometry 1 Contemporary Mathematicians all top 5 Fields 152 Algebraic geometry (14-XX) 70 Number theory (11-XX) 20 General and overarching topics; collections (00-XX) 8 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 \(K\)-theory (19-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Differential geometry (53-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 126 Publications have been cited 1,465 times in 723 Documents Cited by ▼ Year ▼ Rational points of bounded height on Fano varieties. Zbl 0674.14012 Franke, Jens; Manin, Yuri I.; Tschinkel, Yuri 153 1989 Manin’s conjecture for toric varieties. Zbl 0946.14009 Batyrev, Victor V.; Tschinkel, Yuri 52 1998 On the distribution of points of bounded height on equivariant compactifications of vector groups. Zbl 1067.11036 Chambert-Loir, Antoine; Tschinkel, Yuri 46 2002 Tamagawa numbers of polarized algebraic varieties. Zbl 0926.11045 Batyrev, Victor V.; Tschinkel, Yuri 42 1998 Moving and ample cones of holomorphic symplectic fourfolds. Zbl 1183.14058 Hassett, Brendan; Tschinkel, Yuri 38 2009 Geometry of equivariant compactifications of \(\mathbb{G}^n_a\). Zbl 0966.14033 Hassett, Brendan; Tschinkel, Yuri 37 1999 Rational points on some Fano cubic bundles. Zbl 0879.14007 Batyrev, Victor V.; Tschinkel, Yuri 35 1996 Stable rationality of quadric surface bundles over surfaces. Zbl 1420.14115 Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri 34 2018 Igusa integrals and volume asymptotics in analytic and adelic geometry. Zbl 1206.11086 Chambert-Loir, Antoine; Tschinkel, Yuri 33 2010 Rational points of bounded height on compactifications of anisotropic tori. Zbl 0890.14008 Batyrev, Victor V.; Tschinkel, Yuri 32 1995 Specialization of birational types. Zbl 1420.14030 Kontsevich, Maxim; Tschinkel, Yuri 31 2019 Stable rationality and conic bundles. Zbl 1353.14019 Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri 30 2016 Density of rational points on elliptic \(K3\) surfaces. Zbl 0983.14008 Bogomolov, F. A.; Tschinkel, Yu. 29 2000 Rational curves on holomorphic symplectic fourfolds. Zbl 1081.14515 Hassett, B.; Tschinkel, Y. 27 2001 Mori cones of holomorphic symplectic varieties of \(K3\) type. (Cônes de Mori des variétés symplectiques holomorphes de type \(K3\).) Zbl 1375.14124 Bayer, Arend; Hassett, Brendan; Tschinkel, Yuri 27 2015 Hodge theory and Lagrangian planes on generalized Kummer fourfolds. Zbl 1296.14008 Hassett, Brendan; Tschinkel, Yuri 26 2013 On stable rationality of Fano threefolds and del Pezzo fibrations. Zbl 1503.14014 Hassett, Brendan; Tschinkel, Yuri 26 2019 Balanced line bundles and equivariant compactifications of homogeneous spaces. Zbl 1354.14075 Hassett, Brendan; Tanimoto, Sho; Tschinkel, Yuri 23 2015 Rational points on quartics. Zbl 0982.14013 Harris, Joe; Tschinkel, Yuri 20 2000 Height zeta functions of toric varieties. Zbl 0915.14013 Batyrev, V.; Tschinkel, Yu. 20 1996 Integral points of bounded height on partial equivariant compactifications of vector groups. Zbl 1348.11055 Chambert-Loir, Antoine; Tschinkel, Yuri 20 2012 Constructing rational curves on \(K3\) surfaces. Zbl 1236.14035 Bogomolov, Fedor; Hassett, Brendan; Tschinkel, Yuri 19 2011 Weak approximation over function fields. Zbl 1095.14049 Hassett, Brendan; Tschinkel, Yuri 18 2006 Rational points on compactifications of semi-simple groups. Zbl 1122.14019 Shalika, Joseph; Takloo-Bighash, Ramin; Tschinkel, Yuri 18 2007 A very general quartic double fourfold is not stably rational. Zbl 1535.14038 Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri 18 2019 Abelian fibrations and rational points on symmetric products. Zbl 0982.14012 Hassett, Brendan; Tschinkel, Yuri 17 2000 On the arithmetic of del Pezzo surfaces of degree 2. Zbl 1075.14019 Kresch, Andrew; Tschinkel, Yuri 15 2004 Tamagawa numbers of diagonal cubic surfaces, numerical evidence. Zbl 0961.14012 Peyre, Emmanuel; Tschinkel, Yuri 15 2001 Density of integral points on algebraic varieties. Zbl 1018.14008 Hassett, Brendan; Tschinkel, Yuri 15 2001 Intersection numbers of extremal rays on holomorphic symplectic varieties. Zbl 1216.14012 Hassett, Brendan; Tschinkel, Yuri 15 2010 Universal torsors and Cox rings. Zbl 1077.14046 Hassett, Brendan; Tschinkel, Yuri 14 2004 On the effective cone of the moduli space of pointed rational curves. Zbl 1096.14008 Hassett, Brendan; Tschinkel, Yuri 14 2002 Reconstruction of function fields. Zbl 1155.14016 Bogomolov, Fedor; Tschinkel, Yuri 14 2008 Balanced line bundles on Fano varieties. Zbl 1397.14029 Lehmann, Brian; Tanimoto, Sho; Tschinkel, Yuri 14 2018 On the density of rational points on elliptic fibrations. Zbl 0916.14008 Bogomolov, F. A.; Tschinkel, Yu. 13 1999 Rational curves and points on \(K3\) surfaces. Zbl 1082.14025 Bogomolov, Fedor; Tschinkel, Yuri 13 2005 Cubic fourfolds fibered in sextic del Pezzo surfaces. Zbl 1471.14031 Addington, Nicolas; Hassett, Brendan; Tschinkel, Yuri; Várilly-Alvarado, Anthony 13 2019 Commuting elements in Galois groups of function fields. Zbl 1048.11090 Bogomolov, Fedor; Tschinkel, Yuri 12 2002 Height zeta-functions of fiber spaces. (Fonction zêta des hauteurs des espaces fibrés.) Zbl 1077.14524 Chambert-Loir, Antoine; Tschinkel, Yuri 12 2001 Variation of Néron-Severi ranks of reductions of \(K3\) surfaces. Zbl 1311.14039 Costa, Edgar; Tschinkel, Yuri 12 2014 Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups. Zbl 1338.11054 Tanimoto, Sho; Tschinkel, Yuri 11 2012 Extremal rays and automorphisms of holomorphic symplectic varieties. Zbl 1370.14037 Hassett, Brendan; Tschinkel, Yuri 11 2016 Introduction to birational anabelian geometry. Zbl 1290.14017 Bogomolov, Fedor; Tschinkel, Yuri 10 2012 Effectivity of Brauer-Manin obstructions. Zbl 1142.14013 Kresch, Andrew; Tschinkel, Yuri 10 2008 Algebraic varieties with many rational points. Zbl 1193.14030 Tschinkel, Yuri 10 2009 Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces. Zbl 1189.14023 Hassett, Brendan; Tschinkel, Yuri 10 2010 Universal torsors over del Pezzo surfaces and rational points. Zbl 1143.14017 Derenthal, Ulrich; Tschinkel, Yuri 10 2007 On the moduli of degree 4 Del Pezzo surfaces. Zbl 1375.14050 Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri 10 2016 Intersections of three quadrics in \(\mathbb{P}^7\). Zbl 1423.14102 Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri 10 2018 Effective computation of Picard groups and Brauer-Manin obstructions of degree two \(K3\) surfaces over number fields. Zbl 1297.14027 Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri 9 2013 Density of rational points on Enriques surfaces. Zbl 0957.14016 Bogomolov, F. A.; Tschinkel, Yu. 8 1998 Unramified correspondences. Zbl 1082.14511 Bogomolov, Fedor; Tschinkel, Yuri 8 2002 Fujita’s program and rational points. Zbl 1112.14021 Tschinkel, Yuri 8 2003 Characterizing projective spaces on deformations of Hilbert schemes of \(K3\) surfaces. Zbl 1235.14037 Harvey, David; Hassett, Brendan; Tschinkel, Yuri 8 2012 Effectivity of Brauer-Manin obstructions on surfaces. Zbl 1236.14027 Kresch, Andrew; Tschinkel, Yuri 8 2011 Models of Brauer-Severi surface bundles. Zbl 1457.14021 Kresch, Andrew; Tschinkel, Yuri 8 2019 Height zeta functions of equivariant compactifications of unipotent groups. Zbl 1417.14002 Shalika, Joseph; Tschinkel, Yuri 8 2016 Torsion of elliptic curves and unlikely intersections. Zbl 1423.14214 Bogomolov, Fedor; Fu, Hang; Tschinkel, Yuri 8 2018 Special elliptic fibrations. Zbl 1069.14009 Bogomolov, Fedor; Tschinkel, Yuri 7 2004 Height zeta functions on equivariant compactifications of the Heisenberg group. Zbl 1182.14013 Shalika, Joseph A.; Tschinkel, Yuri 7 2004 Reconstruction of higher-dimensional function fields. Zbl 1295.14027 Bogomolov, Fedor; Tschinkel, Yuri 7 2011 A Torelli theorem for curves over finite fields. Zbl 1193.14036 Bogomolov, Fedor; Korotiaev, Mikhail; Tschinkel, Yuri 7 2010 Algebraic varieties over small fields. Zbl 1142.14016 Bogomolov, Fedor; Tschinkel, Yuri 7 2007 Approximation at places of bad reduction for rationally connected varieties. Zbl 1160.14040 Hassett, Brendan; Tschinkel, Yuri 7 2008 Height zeta functions of toric bundles over flag varieties. Zbl 1160.14302 Strauch, Matthias; Tschinkel, Yuri 7 1999 Points of bounded height on equivariant compactifications of vector groups. I. Zbl 0963.11033 Chambert-Loir, Antoine; Tschinkel, Yuri 6 2000 Galois theory and projective geometry. Zbl 1311.11105 Bogomolov, Fedor; Tschinkel, Yuri 6 2013 Integral points of bounded height on compactifications of semi-simple groups. Zbl 1304.14024 Takloo-Bighash, Ramin; Tschinkel, Yuri 6 2013 Cohomological and geometric approaches to rationality problems. New Perspectives. Zbl 1182.14001 6 2010 Milnor \(K_2\) and field homomorphisms. Zbl 1247.19002 Bogomolov, Fedor; Tschinkel, Yuri 6 2009 Points of bounded height on del Pezzo surfaces. Zbl 0782.14033 Manin, Yu. I.; Tschinkel, Yu. 6 1993 Symbols and equivariant birational geometry in small dimensions. Zbl 1497.14091 Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri 6 2021 Equivariant birational types and Burnside volume. Zbl 07558541 Kresch, Andrew; Tschinkel, Yuri 6 2022 Equivariant Burnside groups and representation theory. Zbl 1511.14076 Kresch, Andrew; Tschinkel, Yuri 6 2022 Rational points on compactifications of semi-simple groups of rank 1. Zbl 1211.11080 Shalika, Joseph; Takloo-Bighash, Ramin; Tschinkel, Yuri 5 2004 Multiple mixing for adele groups and rational points. Zbl 1336.14020 Gorodnik, Alexander; Takloo-Bighash, Ramin; Tschinkel, Yuri 5 2015 Weak approximation for hypersurfaces of low degree. Zbl 1169.14306 Hassett, Brendan; Tschinkel, Yuri 5 2009 Two examples of Brauer-Manin obstruction to integral points. Zbl 1161.14019 Kresch, Andrew; Tschinkel, Yuri 5 2008 Rationality of complete intersections of two quadrics over nonclosed fields. Zbl 1495.14024 Hassett, Brendan; Tschinkel, Yuri; Colliot-Thélène, Jean-Louis 5 2021 Rational points on \(K3\) surfaces and derived equivalence. Zbl 1386.14136 Hassett, Brendan; Tschinkel, Yuri 5 2017 Tamagawa numbers of diagonal cubic surfaces of higher rank. Zbl 1079.11034 Peyre, Emmanuel; Tschinkel, Yuri 4 2001 Couniformization of curves over number fields. Zbl 1223.14027 Bogomolov, Fedor; Tschinkel, Yuri 4 2005 Spaces of sections of quadric surface fibrations over curves. Zbl 1248.14015 Hassett, Brendan; Tschinkel, Yuri 4 2012 The Felix Klein Protocols. Zbl 1279.01034 Chislenko, Eugene; Tschinkel, Yuri 4 2007 Birational types of algebraic orbifolds. Zbl 1474.14024 Kresch, Andrew; Tschinkel, Yuri 4 2021 Cycle class maps and birational invariants. Zbl 1487.14014 Hassett, Brendan; Tschinkel, Yuri 4 2021 Curves in Abelian varieties over finite fields. Zbl 1069.14030 Bogomolov, Fedor; Tschinkel, Yuri 3 2005 Rational points on toric varieties. Zbl 0871.14040 Batyrev, V. V.; Tschinkel, Yu. 3 1995 Quartic del Pezzo surfaces over function fields of curves. Zbl 1286.14013 Hassett, Brendan; Tschinkel, Yuri 3 2014 Lagrangian subvarieties of abelian fourfolds. Zbl 0995.14017 Bogomolov, Fedor; Tschinkel, Yuri 3 2000 Monodromy of elliptic surfaces. Zbl 1093.14053 Bogomolov, Fedor; Tschinkel, Yuri 3 2003 Arithmetic torsor and fiber spaces. (Torseurs arithmétiques et espaces fibrés.) Zbl 1001.14005 Chambert-Loir, Antoine; Tschinkel, Yuri 3 2001 Height zeta functions of twisted products. Zbl 0918.11036 Strauch, Matthias; Tschinkel, Yuri 3 1997 Integral points and effective cones of moduli spaces of stable maps. Zbl 1105.14033 Hassett, Brendan; Tschinkel, Yuri 3 2003 Stable rationality of Brauer-Severi surface bundles. Zbl 1470.14031 Kresch, Andrew; Tschinkel, Yuri 3 2020 Rational points on algebraic varieties. Zbl 0974.00037 3 2001 Potential density of rational points for \(K3\) surfaces over function fields. Zbl 1152.14036 Hassett, Brendan; Tschinkel, Yuri 3 2008 Log Fano varieties over function fields of curves. Zbl 1170.14020 Hassett, Brendan; Tschinkel, Yuri 3 2008 Arithmetic properties of equivariant birational types. Zbl 1470.14028 Kresch, Andrew; Tschinkel, Yuri 3 2021 Involution surface bundles over surfaces. Zbl 1450.14005 Kresch, Andrew; Tschinkel, Yuri 3 2020 Equivariant birational geometry and modular symbols. Zbl 1518.14016 Kontsevich, Maxim; Pestun, Vasily; Tschinkel, Yuri 2 2023 Stable rationality in smooth families of threefolds. Zbl 1520.14022 Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri 1 2023 Equivariant birational types and Burnside volume. Zbl 07558541 Kresch, Andrew; Tschinkel, Yuri 6 2022 Equivariant Burnside groups and representation theory. Zbl 1511.14076 Kresch, Andrew; Tschinkel, Yuri 6 2022 Equivariant geometry of odd-dimensional complete intersections of two quadrics. Zbl 1535.14039 Hassett, Brendan; Tschinkel, Yuri 2 2022 Rationality of even-dimensional intersections of two real quadrics. Zbl 1498.14029 Hassett, Brendan; Kollár, János; Tschinkel, Yuri 1 2022 Combinatorial Burnside groups. Zbl 1498.14028 Tschinkel, Yuri; Yang, Kaiqi; Zhang, Zhijia 1 2022 Symbols and equivariant birational geometry in small dimensions. Zbl 1497.14091 Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri 6 2021 Rationality of complete intersections of two quadrics over nonclosed fields. Zbl 1495.14024 Hassett, Brendan; Tschinkel, Yuri; Colliot-Thélène, Jean-Louis 5 2021 Birational types of algebraic orbifolds. Zbl 1474.14024 Kresch, Andrew; Tschinkel, Yuri 4 2021 Cycle class maps and birational invariants. Zbl 1487.14014 Hassett, Brendan; Tschinkel, Yuri 4 2021 Arithmetic properties of equivariant birational types. Zbl 1470.14028 Kresch, Andrew; Tschinkel, Yuri 3 2021 Rationality of Fano threefolds of degree 18 over non-closed fields. Zbl 1497.14080 Hassett, Brendan; Tschinkel, Yuri 2 2021 Varieties of planes on intersections of three quadrics. Zbl 1467.14038 Hassett, Brendan; Tschinkel, Yuri 2 2021 Brauer groups of involution surface bundles. Zbl 1475.14043 Kresch, Andrew; Tschinkel, Yuri 1 2021 Stable rationality of Brauer-Severi surface bundles. Zbl 1470.14031 Kresch, Andrew; Tschinkel, Yuri 3 2020 Involution surface bundles over surfaces. Zbl 1450.14005 Kresch, Andrew; Tschinkel, Yuri 3 2020 Potentially stably rational del Pezzo surfaces over nonclosed fields. Zbl 1436.14065 Tschinkel, Yuri; Yang, Kaiqi 2 2020 Specialization of birational types. Zbl 1420.14030 Kontsevich, Maxim; Tschinkel, Yuri 31 2019 On stable rationality of Fano threefolds and del Pezzo fibrations. Zbl 1503.14014 Hassett, Brendan; Tschinkel, Yuri 26 2019 A very general quartic double fourfold is not stably rational. Zbl 1535.14038 Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri 18 2019 Cubic fourfolds fibered in sextic del Pezzo surfaces. Zbl 1471.14031 Addington, Nicolas; Hassett, Brendan; Tschinkel, Yuri; Várilly-Alvarado, Anthony 13 2019 Models of Brauer-Severi surface bundles. Zbl 1457.14021 Kresch, Andrew; Tschinkel, Yuri 8 2019 Homomorphisms of multiplicative groups of fields preserving algebraic dependence. Zbl 1431.14018 Bogomolov, Fedor A.; Rovinsky, Marat; Tschinkel, Yuri 2 2019 Noether’s problem and descent. Zbl 1427.14036 Bogomolov, Fedor; Tschinkel, Yuri 1 2019 Models of triple covers. Zbl 1427.14037 Kresch, Andrew; Tschinkel, Yu. 1 2019 Stable rationality of quadric surface bundles over surfaces. Zbl 1420.14115 Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri 34 2018 Balanced line bundles on Fano varieties. Zbl 1397.14029 Lehmann, Brian; Tanimoto, Sho; Tschinkel, Yuri 14 2018 Intersections of three quadrics in \(\mathbb{P}^7\). Zbl 1423.14102 Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri 10 2018 Torsion of elliptic curves and unlikely intersections. Zbl 1423.14214 Bogomolov, Fedor; Fu, Hang; Tschinkel, Yuri 8 2018 Noether’s problem and descent. Zbl 1419.14076 Bogomolov, Fedor; Tschinkel, Yuri 1 2018 Rational points on \(K3\) surfaces and derived equivalence. Zbl 1386.14136 Hassett, Brendan; Tschinkel, Yuri 5 2017 Universal spaces for unramified Galois cohomology. Zbl 1437.12002 Bogomolov, Fedor; Tschinkel, Yuri 2 2017 Algebra, geometry, and physics in the 21st century. Kontsevich Festschrift. Zbl 1378.14001 1 2017 Stable rationality and conic bundles. Zbl 1353.14019 Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri 30 2016 Extremal rays and automorphisms of holomorphic symplectic varieties. Zbl 1370.14037 Hassett, Brendan; Tschinkel, Yuri 11 2016 On the moduli of degree 4 Del Pezzo surfaces. Zbl 1375.14050 Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri 10 2016 Height zeta functions of equivariant compactifications of unipotent groups. Zbl 1417.14002 Shalika, Joseph; Tschinkel, Yuri 8 2016 Mori cones of holomorphic symplectic varieties of \(K3\) type. (Cônes de Mori des variétés symplectiques holomorphes de type \(K3\).) Zbl 1375.14124 Bayer, Arend; Hassett, Brendan; Tschinkel, Yuri 27 2015 Balanced line bundles and equivariant compactifications of homogeneous spaces. Zbl 1354.14075 Hassett, Brendan; Tanimoto, Sho; Tschinkel, Yuri 23 2015 Multiple mixing for adele groups and rational points. Zbl 1336.14020 Gorodnik, Alexander; Takloo-Bighash, Ramin; Tschinkel, Yuri 5 2015 Variation of Néron-Severi ranks of reductions of \(K3\) surfaces. Zbl 1311.14039 Costa, Edgar; Tschinkel, Yuri 12 2014 Quartic del Pezzo surfaces over function fields of curves. Zbl 1286.14013 Hassett, Brendan; Tschinkel, Yuri 3 2014 Hodge theory and Lagrangian planes on generalized Kummer fourfolds. Zbl 1296.14008 Hassett, Brendan; Tschinkel, Yuri 26 2013 Effective computation of Picard groups and Brauer-Manin obstructions of degree two \(K3\) surfaces over number fields. Zbl 1297.14027 Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri 9 2013 Galois theory and projective geometry. Zbl 1311.11105 Bogomolov, Fedor; Tschinkel, Yuri 6 2013 Integral points of bounded height on compactifications of semi-simple groups. Zbl 1304.14024 Takloo-Bighash, Ramin; Tschinkel, Yuri 6 2013 Integral points of bounded height on partial equivariant compactifications of vector groups. Zbl 1348.11055 Chambert-Loir, Antoine; Tschinkel, Yuri 20 2012 Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups. Zbl 1338.11054 Tanimoto, Sho; Tschinkel, Yuri 11 2012 Introduction to birational anabelian geometry. Zbl 1290.14017 Bogomolov, Fedor; Tschinkel, Yuri 10 2012 Characterizing projective spaces on deformations of Hilbert schemes of \(K3\) surfaces. Zbl 1235.14037 Harvey, David; Hassett, Brendan; Tschinkel, Yuri 8 2012 Spaces of sections of quadric surface fibrations over curves. Zbl 1248.14015 Hassett, Brendan; Tschinkel, Yuri 4 2012 Constructing rational curves on \(K3\) surfaces. Zbl 1236.14035 Bogomolov, Fedor; Hassett, Brendan; Tschinkel, Yuri 19 2011 Effectivity of Brauer-Manin obstructions on surfaces. Zbl 1236.14027 Kresch, Andrew; Tschinkel, Yuri 8 2011 Reconstruction of higher-dimensional function fields. Zbl 1295.14027 Bogomolov, Fedor; Tschinkel, Yuri 7 2011 Igusa integrals and volume asymptotics in analytic and adelic geometry. Zbl 1206.11086 Chambert-Loir, Antoine; Tschinkel, Yuri 33 2010 Intersection numbers of extremal rays on holomorphic symplectic varieties. Zbl 1216.14012 Hassett, Brendan; Tschinkel, Yuri 15 2010 Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces. Zbl 1189.14023 Hassett, Brendan; Tschinkel, Yuri 10 2010 A Torelli theorem for curves over finite fields. Zbl 1193.14036 Bogomolov, Fedor; Korotiaev, Mikhail; Tschinkel, Yuri 7 2010 Cohomological and geometric approaches to rationality problems. New Perspectives. Zbl 1182.14001 6 2010 Unramified cohomology of finite groups of Lie type. Zbl 1223.14016 Bogomolov, Fedor; Petrov, Tihomir; Tschinkel, Yuri 2 2010 Moving and ample cones of holomorphic symplectic fourfolds. Zbl 1183.14058 Hassett, Brendan; Tschinkel, Yuri 38 2009 Algebraic varieties with many rational points. Zbl 1193.14030 Tschinkel, Yuri 10 2009 Milnor \(K_2\) and field homomorphisms. Zbl 1247.19002 Bogomolov, Fedor; Tschinkel, Yuri 6 2009 Weak approximation for hypersurfaces of low degree. Zbl 1169.14306 Hassett, Brendan; Tschinkel, Yuri 5 2009 Co-fibered products of algebraic curves. Zbl 1186.14029 Bogomolov, Fedor; Tschinkel, Yuri 1 2009 Reconstruction of function fields. Zbl 1155.14016 Bogomolov, Fedor; Tschinkel, Yuri 14 2008 Effectivity of Brauer-Manin obstructions. Zbl 1142.14013 Kresch, Andrew; Tschinkel, Yuri 10 2008 Approximation at places of bad reduction for rationally connected varieties. Zbl 1160.14040 Hassett, Brendan; Tschinkel, Yuri 7 2008 Two examples of Brauer-Manin obstruction to integral points. Zbl 1161.14019 Kresch, Andrew; Tschinkel, Yuri 5 2008 Potential density of rational points for \(K3\) surfaces over function fields. Zbl 1152.14036 Hassett, Brendan; Tschinkel, Yuri 3 2008 Log Fano varieties over function fields of curves. Zbl 1170.14020 Hassett, Brendan; Tschinkel, Yuri 3 2008 Rational points on compactifications of semi-simple groups. Zbl 1122.14019 Shalika, Joseph; Takloo-Bighash, Ramin; Tschinkel, Yuri 18 2007 Universal torsors over del Pezzo surfaces and rational points. Zbl 1143.14017 Derenthal, Ulrich; Tschinkel, Yuri 10 2007 Algebraic varieties over small fields. Zbl 1142.14016 Bogomolov, Fedor; Tschinkel, Yuri 7 2007 The Felix Klein Protocols. Zbl 1279.01034 Chislenko, Eugene; Tschinkel, Yuri 4 2007 Weak approximation over function fields. Zbl 1095.14049 Hassett, Brendan; Tschinkel, Yuri 18 2006 Geometry over nonclosed fields. Zbl 1105.14024 Tschinkel, Yuri 2 2006 Rational curves and points on \(K3\) surfaces. Zbl 1082.14025 Bogomolov, Fedor; Tschinkel, Yuri 13 2005 Couniformization of curves over number fields. Zbl 1223.14027 Bogomolov, Fedor; Tschinkel, Yuri 4 2005 Curves in Abelian varieties over finite fields. Zbl 1069.14030 Bogomolov, Fedor; Tschinkel, Yuri 3 2005 On the arithmetic of del Pezzo surfaces of degree 2. Zbl 1075.14019 Kresch, Andrew; Tschinkel, Yuri 15 2004 Universal torsors and Cox rings. Zbl 1077.14046 Hassett, Brendan; Tschinkel, Yuri 14 2004 Special elliptic fibrations. Zbl 1069.14009 Bogomolov, Fedor; Tschinkel, Yuri 7 2004 Height zeta functions on equivariant compactifications of the Heisenberg group. Zbl 1182.14013 Shalika, Joseph A.; Tschinkel, Yuri 7 2004 Rational points on compactifications of semi-simple groups of rank 1. Zbl 1211.11080 Shalika, Joseph; Takloo-Bighash, Ramin; Tschinkel, Yuri 5 2004 Arithmetic of higher-dimensional algebraic varieties. Proceedings of the workshop on rational and integral points of higher-dimensional varieties, Palo Alto, CA, USA, December 11–20, 2002. Zbl 1054.11006 2 2004 Rational points and automorphic forms. Zbl 1096.11022 Shalika, Joseph A.; Takloo-Bighash, Ramin; Tschinkel, Yuri 1 2004 Fujita’s program and rational points. Zbl 1112.14021 Tschinkel, Yuri 8 2003 Monodromy of elliptic surfaces. Zbl 1093.14053 Bogomolov, Fedor; Tschinkel, Yuri 3 2003 Integral points and effective cones of moduli spaces of stable maps. Zbl 1105.14033 Hassett, Brendan; Tschinkel, Yuri 3 2003 On the distribution of points of bounded height on equivariant compactifications of vector groups. Zbl 1067.11036 Chambert-Loir, Antoine; Tschinkel, Yuri 46 2002 On the effective cone of the moduli space of pointed rational curves. Zbl 1096.14008 Hassett, Brendan; Tschinkel, Yuri 14 2002 Commuting elements in Galois groups of function fields. Zbl 1048.11090 Bogomolov, Fedor; Tschinkel, Yuri 12 2002 Unramified correspondences. Zbl 1082.14511 Bogomolov, Fedor; Tschinkel, Yuri 8 2002 Integral points on punctured Abelian surfaces. Zbl 1071.11032 Kresch, Andrew; Tschinkel, Yuri 2 2002 Lectures on height zeta functions of toric varieties. Zbl 1064.14018 Tschinkel, Yuri 1 2002 Rationality of moduli of elliptic fibrations with fixed monodromy. Zbl 1068.14041 Bogomolov, F.; Petrov, T.; Tschinkel, Y. 1 2002 Rational curves on holomorphic symplectic fourfolds. Zbl 1081.14515 Hassett, B.; Tschinkel, Y. 27 2001 Tamagawa numbers of diagonal cubic surfaces, numerical evidence. Zbl 0961.14012 Peyre, Emmanuel; Tschinkel, Yuri 15 2001 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 658 Authors 45 Tschinkel, Yuri 28 Browning, Timothy Daniel 21 Hassett, Brendan 18 Derenthal, Ulrich 15 Kresch, Andrew 15 Tanimoto, Sho 14 Bogomolov, Fedor Alekseivich 11 de la Bretèche, Régis 11 Mongardi, Giovanni 10 Cheltsov, Ivan Anatol’evich 10 Elsenhans, Andreas-Stephan 10 Jahnel, Jörg 10 Lehmann, Brian 10 Loughran, Daniel 10 Várilly-Alvarado, Anthony 7 Macrì, Emanuele 7 Markman, Eyal 7 Sofos, Efthymios 7 Verbitsky, Misha 6 Amerik, Ekaterina Yu. 6 Arzhantsev, Ivan Vladimirovich 6 Blomer, Valentin 6 Bourqui, David 6 Brüdern, Jörg 6 Camere, Chiara 6 Colliot-Thélène, Jean-Louis 6 Feigin, Evgeny 6 Frei, Christopher 6 Javanpeykar, Ariyan 6 Peyre, Emmanuel 6 Takloo-Bighash, Ramin 5 Bayer, Arend 5 Chen, Xi 5 Debarre, Olivier 5 Hausen, Jürgen 5 Laface, Antonio 5 Liedtke, Christian 5 Mináč, Ján 5 Park, Jihun 5 Pieropan, Marta 5 Prokhorov, Yuriĭ Gennad’evich 5 Thunder, Jeffrey Lin 5 Topaz, Adam 5 Viray, Bianca 5 Voisin, Claire 4 Auel, Asher Natan 4 Baragar, Arthur 4 Campana, Frédéric 4 Corvaja, Pietro 4 Costa, Edgar 4 Efrat, Ido 4 Farkas, Gavril 4 Frei, Sarah 4 Fu, Hang 4 Gorodnik, Alexander 4 Heath-Brown, Roger 4 Karzhemanov, Ilya 4 Knutsen, Andreas Leopold 4 Kollár, János 4 Le Boudec, Pierre 4 Li, Zhiyuan 4 Nicaise, Johannes 4 Okada, Takuzo 4 Rousseau, Erwan 4 Sarti, Alessandra 4 Sawon, Justin 4 Schindler, Damaris 4 Schreieder, Stefan 4 Staglianò, Giovanni 4 Testa, Damiano 4 Tian, Zhiyu 4 van Luijk, Ronald M. 4 Zhu, Yi 3 Addington, Nicolas M. 3 Bakker, Benjamin 3 Böhning, Christian 3 Boissière, Samuel 3 Chambert-Loir, Antoine 3 Chen, Qile 3 Degtyarev, Alex 3 Destagnol, Kevin 3 Fontanari, Claudio 3 Fu, Baohua 3 Gagliardi, Giuliano 3 Gounelas, Frank 3 Gritsenko, Valeriĭ Alekseevich 3 Honigs, Katrina 3 Huang, Zhizhong 3 Huybrechts, Daniel 3 Iliev, Atanas Iliev 3 Kamenova, Ljudmila 3 Kapustka, Grzegorz 3 Katzarkov, Ludmil 3 Keicher, Simon 3 Liebendörfer, Christine 3 Massarenti, Alex 3 McKinnon, David 3 Oguiso, Keiji 3 Oprea, Dragos 3 Pacienza, Gianluca ...and 558 more Authors all top 5 Cited in 142 Serials 33 Mathematische Annalen 28 Advances in Mathematics 25 European Journal of Mathematics 24 Journal of Number Theory 23 Manuscripta Mathematica 23 Mathematische Zeitschrift 22 Transactions of the American Mathematical Society 21 Compositio Mathematica 20 Duke Mathematical Journal 17 Annales de l’Institut Fourier 17 Journal für die Reine und Angewandte Mathematik 15 Algebra & Number Theory 13 Journal of Algebraic Geometry 13 Journal of the European Mathematical Society (JEMS) 12 Proceedings of the American Mathematical Society 11 Inventiones Mathematicae 11 Research in Number Theory 10 Journal of Algebra 10 Journal of the London Mathematical Society. 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Académie des Sciences, Paris 5 Journal de l’École Polytechnique – Mathématiques 4 Bulletin of the London Mathematical Society 4 Bulletin de la Société Mathématique de France 4 Monatshefte für Mathematik 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Journal of the American Mathematical Society 4 International Journal of Mathematics 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Mathematical Sciences (New York) 4 Transformation Groups 4 International Journal of Number Theory 3 Communications on Pure and Applied Mathematics 3 Mathematical Notes 3 Memoirs of the American Mathematical Society 3 Bulletin of the American Mathematical Society. New Series 3 Experimental Mathematics 3 Documenta Mathematica 3 Annals of Mathematics. Second Series 3 Advances in Geometry 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Communications in Mathematical Physics 2 Russian Mathematical Surveys 2 The Mathematical Intelligencer 2 American Journal of Mathematics 2 Commentarii Mathematici Helvetici 2 Functiones et Approximatio. Commentarii Mathematici 2 Publications Mathématiques 2 Results in Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Acta Mathematica Hungarica 2 Journal of the Ramanujan Mathematical Society 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Indagationes Mathematicae. New Series 2 Sbornik: Mathematics 2 Izvestiya: Mathematics 2 The Ramanujan Journal 2 Geometry & Topology 2 Journal of High Energy Physics 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Topology 2 Science China. Mathematics 2 Forum of Mathematics, Pi 2 Transactions of the American Mathematical Society. Series B 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Periodica Mathematica Hungarica 1 Problems of Information Transmission 1 Rocky Mountain Journal of Mathematics 1 Beiträge zur Algebra und Geometrie 1 Canadian Journal of Mathematics 1 Collectanea Mathematica 1 Dissertationes Mathematicae 1 Functional Analysis and its Applications 1 Journal of the Mathematical Society of Japan 1 The Journal of Symbolic Logic ...and 42 more Serials all top 5 Cited in 39 Fields 626 Algebraic geometry (14-XX) 295 Number theory (11-XX) 45 Several complex variables and analytic spaces (32-XX) 36 Differential geometry (53-XX) 25 Group theory and generalizations (20-XX) 23 Field theory and polynomials (12-XX) 21 Commutative algebra (13-XX) 17 Dynamical systems and ergodic theory (37-XX) 11 Category theory; homological algebra (18-XX) 10 General and overarching topics; collections (00-XX) 9 Topological groups, Lie groups (22-XX) 7 History and biography (01-XX) 7 Nonassociative rings and algebras (17-XX) 7 \(K\)-theory (19-XX) 6 Associative rings and algebras (16-XX) 6 Algebraic topology (55-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 3 Combinatorics (05-XX) 3 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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