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Author ID: tschinkel.yuri Recent zbMATH articles by "Tschinkel, Yuri"
Published as: Tschinkel, Yuri; Tschinkel, Yu.; Tschinkel, Y.
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Serials

8 Progress in Mathematics
6 Inventiones Mathematicae
5 Duke Mathematical Journal
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 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 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
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 Institute of Mathematics of Jussieu
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Contemporary Mathematics
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

Publications by Year

Citations contained in zbMATH Open

108 Publications have been cited 1,023 times in 533 Documents Cited by Year
Rational points of bounded height on Fano varieties. Zbl 0674.14012
Franke, Jens; Manin, Yuri I.; Tschinkel, Yuri
113
1989
On the distribution of points of bounded height on equivariant compactifications of vector groups. Zbl 1067.11036
Chambert-Loir, Antoine; Tschinkel, Yuri
42
2002
Manin’s conjecture for toric varieties. Zbl 0946.14009
Batyrev, Victor V.; Tschinkel, Yuri
34
1998
Tamagawa numbers of polarized algebraic varieties. Zbl 0926.11045
Batyrev, Victor V.; Tschinkel, Yuri
30
1998
Geometry of equivariant compactifications of \(\mathbb{G}^n_a\). Zbl 0966.14033
Hassett, Brendan; Tschinkel, Yuri
27
1999
Moving and ample cones of holomorphic symplectic fourfolds. Zbl 1183.14058
Hassett, Brendan; Tschinkel, Yuri
27
2009
Stable rationality of quadric surface bundles over surfaces. Zbl 1420.14115
Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri
24
2018
Rational points of bounded height on compactifications of anisotropic tori. Zbl 0890.14008
Batyrev, Victor V.; Tschinkel, Yuri
23
1995
Density of rational points on elliptic \(K3\) surfaces. Zbl 0983.14008
Bogomolov, F. A.; Tschinkel, Yu.
23
2000
Igusa integrals and volume asymptotics in analytic and adelic geometry. Zbl 1206.11086
Chambert-Loir, Antoine; Tschinkel, Yuri
23
2010
Rational curves on holomorphic symplectic fourfolds. Zbl 1081.14515
Hassett, B.; Tschinkel, Y.
22
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
21
2015
Rational points on some Fano cubic bundles. Zbl 0879.14007
Batyrev, Victor V.; Tschinkel, Yuri
20
1996
Stable rationality and conic bundles. Zbl 1353.14019
Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri
20
2016
Specialization of birational types. Zbl 1420.14030
Kontsevich, Maxim; Tschinkel, Yuri
19
2019
On stable rationality of Fano threefolds and del Pezzo fibrations. Zbl 07062937
Hassett, Brendan; Tschinkel, Yuri
16
2019
Rational points on quartics. Zbl 0982.14013
Harris, Joe; Tschinkel, Yuri
16
2000
Height zeta functions of toric varieties. Zbl 0915.14013
Batyrev, V.; Tschinkel, Yu.
15
1996
Weak approximation over function fields. Zbl 1095.14049
Hassett, Brendan; Tschinkel, Yuri
15
2006
Constructing rational curves on \(K3\) surfaces. Zbl 1236.14035
Bogomolov, Fedor; Hassett, Brendan; Tschinkel, Yuri
15
2011
Hodge theory and Lagrangian planes on generalized Kummer fourfolds. Zbl 1296.14008
Hassett, Brendan; Tschinkel, Yuri
14
2013
Integral points of bounded height on partial equivariant compactifications of vector groups. Zbl 1348.11055
Chambert-Loir, Antoine; Tschinkel, Yuri
14
2012
Rational points on compactifications of semi-simple groups. Zbl 1122.14019
Shalika, Joseph; Takloo-Bighash, Ramin; Tschinkel, Yuri
13
2007
Balanced line bundles and equivariant compactifications of homogeneous spaces. Zbl 1354.14075
Hassett, Brendan; Tanimoto, Sho; Tschinkel, Yuri
13
2015
Abelian fibrations and rational points on symmetric products. Zbl 0982.14012
Hassett, Brendan; Tschinkel, Yuri
13
2000
Intersection numbers of extremal rays on holomorphic symplectic varieties. Zbl 1216.14012
Hassett, Brendan; Tschinkel, Yuri
13
2010
Tamagawa numbers of diagonal cubic surfaces, numerical evidence. Zbl 0961.14012
Peyre, Emmanuel; Tschinkel, Yuri
12
2001
On the density of rational points on elliptic fibrations. Zbl 0916.14008
Bogomolov, F. A.; Tschinkel, Yu.
12
1999
Density of integral points on algebraic varieties. Zbl 1018.14008
Hassett, Brendan; Tschinkel, Yuri
12
2001
A very general quartic double fourfold is not stably rational. Zbl 07020392
Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri
11
2019
Reconstruction of function fields. Zbl 1155.14016
Bogomolov, Fedor; Tschinkel, Yuri
11
2008
On the arithmetic of del Pezzo surfaces of degree 2. Zbl 1075.14019
Kresch, Andrew; Tschinkel, Yuri
11
2004
Universal torsors and Cox rings. Zbl 1077.14046
Hassett, Brendan; Tschinkel, Yuri
11
2004
Rational curves and points on \(K3\) surfaces. Zbl 1082.14025
Bogomolov, Fedor; Tschinkel, Yuri
11
2005
Universal torsors over del Pezzo surfaces and rational points. Zbl 1143.14017
Derenthal, Ulrich; Tschinkel, Yuri
10
2007
Height zeta-functions of fiber spaces. (Fonction zêta des hauteurs des espaces fibrés.) Zbl 1077.14524
Chambert-Loir, Antoine; Tschinkel, Yuri
10
2001
On the effective cone of the moduli space of pointed rational curves. Zbl 1096.14008
Hassett, Brendan; Tschinkel, Yuri
10
2002
Effectivity of Brauer-Manin obstructions. Zbl 1142.14013
Kresch, Andrew; Tschinkel, Yuri
9
2008
Balanced line bundles on Fano varieties. Zbl 1397.14029
Lehmann, Brian; Tanimoto, Sho; Tschinkel, Yuri
9
2018
Cubic fourfolds fibered in sextic del Pezzo surfaces. Zbl 1471.14031
Addington, Nicolas; Hassett, Brendan; Tschinkel, Yuri; Várilly-Alvarado, Anthony
8
2019
Variation of Néron-Severi ranks of reductions of \(K3\) surfaces. Zbl 1311.14039
Costa, Edgar; Tschinkel, Yuri
8
2014
On the moduli of degree 4 Del Pezzo surfaces. Zbl 1375.14050
Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri
8
2016
Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups. Zbl 1338.11054
Tanimoto, Sho; Tschinkel, Yuri
8
2012
Commuting elements in Galois groups of function fields. Zbl 1048.11090
Bogomolov, Fedor; Tschinkel, Yuri
8
2002
Algebraic varieties over small fields. Zbl 1142.14016
Bogomolov, Fedor; Tschinkel, Yuri
7
2007
Characterizing projective spaces on deformations of Hilbert schemes of \(K3\) surfaces. Zbl 1235.14037
Harvey, David; Hassett, Brendan; Tschinkel, Yuri
7
2012
Introduction to birational anabelian geometry. Zbl 1290.14017
Bogomolov, Fedor; Tschinkel, Yuri
7
2012
Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces. Zbl 1189.14023
Hassett, Brendan; Tschinkel, Yuri
7
2010
Algebraic varieties with many rational points. Zbl 1193.14030
Tschinkel, Yuri
7
2009
Approximation at places of bad reduction for rationally connected varieties. Zbl 1160.14040
Hassett, Brendan; Tschinkel, Yuri
6
2008
Reconstruction of higher-dimensional function fields. Zbl 1295.14027
Bogomolov, Fedor; Tschinkel, Yuri
6
2011
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
6
2013
Intersections of three quadrics in \(\mathbb{P}^7\). Zbl 1423.14102
Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri
6
2018
Extremal rays and automorphisms of holomorphic symplectic varieties. Zbl 1370.14037
Hassett, Brendan; Tschinkel, Yuri
6
2016
Effectivity of Brauer-Manin obstructions on surfaces. Zbl 1236.14027
Kresch, Andrew; Tschinkel, Yuri
6
2011
A Torelli theorem for curves over finite fields. Zbl 1193.14036
Bogomolov, Fedor; Korotiaev, Mikhail; Tschinkel, Yuri
6
2010
Unramified correspondences. Zbl 1082.14511
Bogomolov, Fedor; Tschinkel, Yuri
6
2002
Fujita’s program and rational points. Zbl 1112.14021
Tschinkel, Yuri
6
2003
Torsion of elliptic curves and unlikely intersections. Zbl 1423.14214
Bogomolov, Fedor; Fu, Hang; Tschinkel, Yuri
5
2018
Height zeta functions of toric bundles over flag varieties. Zbl 1160.14302
Strauch, Matthias; Tschinkel, Yuri
5
1999
Special elliptic fibrations. Zbl 1069.14009
Bogomolov, Fedor; Tschinkel, Yuri
5
2004
Points of bounded height on equivariant compactifications of vector groups. I. Zbl 0963.11033
Chambert-Loir, Antoine; Tschinkel, Yuri
5
2000
Density of rational points on Enriques surfaces. Zbl 0957.14016
Bogomolov, F. A.; Tschinkel, Yu.
5
1998
Weak approximation for hypersurfaces of low degree. Zbl 1169.14306
Hassett, Brendan; Tschinkel, Yuri
5
2009
Galois theory and projective geometry. Zbl 1311.11105
Bogomolov, Fedor; Tschinkel, Yuri
5
2013
Points of bounded height on del Pezzo surfaces. Zbl 0782.14033
Manin, Yu. I.; Tschinkel, Yu.
4
1993
Rational points on \(K3\) surfaces and derived equivalence. Zbl 1386.14136
Hassett, Brendan; Tschinkel, Yuri
4
2017
Height zeta functions on equivariant compactifications of the Heisenberg group. Zbl 1182.14013
Shalika, Joseph A.; Tschinkel, Yuri
4
2004
Rational points on compactifications of semi-simple groups of rank 1. Zbl 1211.11080
Shalika, Joseph; Tokloo-Bighash, Ramin; Tschinkel, Yuri
4
2004
Tamagawa numbers of diagonal cubic surfaces of higher rank. Zbl 1079.11034
Peyre, Emmanuel; Tschinkel, Yuri
4
2001
Models of Brauer-Severi surface bundles. Zbl 1457.14021
Kresch, Andrew; Tschinkel, Yuri
3
2019
Height zeta functions of twisted products. Zbl 0918.11036
Strauch, Matthias; Tschinkel, Yuri
3
1997
Milnor \(K_2\) and field homomorphisms. Zbl 1247.19002
Bogomolov, Fedor; Tschinkel, Yuri
3
2009
Two examples of Brauer-Manin obstruction to integral points. Zbl 1161.14019
Kresch, Andrew; Tschinkel, Yuri
3
2008
Multiple mixing for adele groups and rational points. Zbl 1336.14020
Gorodnik, Alexander; Takloo-Bighash, Ramin; Tschinkel, Yuri
3
2015
Curves in Abelian varieties over finite fields. Zbl 1069.14030
Bogomolov, Fedor; Tschinkel, Yuri
3
2005
Lagrangian subvarieties of abelian fourfolds. Zbl 0995.14017
Bogomolov, Fedor; Tschinkel, Yuri
3
2000
Couniformization of curves over number fields. Zbl 1223.14027
Bogomolov, Fedor; Tschinkel, Yuri
3
2005
Integral points of bounded height on compactifications of semi-simple groups. Zbl 1304.14024
Takloo-Bighash, Ramin; Tschinkel, Yuri
3
2013
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
Height zeta functions of equivariant compactifications of unipotent groups. Zbl 1417.14002
Shalika, Joseph; Tschinkel, Yuri
3
2016
Arithmetic properties of equivariant birational types. Zbl 1470.14028
Kresch, Andrew; Tschinkel, Yuri
2
2021
Birational types of algebraic orbifolds. Zbl 1474.14024
Kresch, Andrew; Tschinkel, Yuri
2
2021
The Felix Klein Protocols. Zbl 1279.01034
Chislenko, Eugene; Tschinkel, Yuri
2
2007
Log Fano varieties over function fields of curves. Zbl 1170.14020
Hassett, Brendan; Tschinkel, Yuri
2
2008
Quartic del Pezzo surfaces over function fields of curves. Zbl 1286.14013
Hassett, Brendan; Tschinkel, Yuri
2
2014
Geometry over nonclosed fields. Zbl 1105.14024
Tschinkel, Yuri
2
2006
Involution surface bundles over surfaces. Zbl 1450.14005
Kresch, Andrew; Tschinkel, Yuri
2
2020
Potential density of rational points for \(K3\) surfaces over function fields. Zbl 1152.14036
Hassett, Brendan; Tschinkel, Yuri
2
2008
Erratum: Rational points of bounded height on Fano varieties. Zbl 0709.14017
Franke, Jens; Manin, Yuri I.; Tschinkel, Yuri
2
1990
Spaces of sections of quadric surface fibrations over curves. Zbl 1248.14015
Hassett, Brendan; Tschinkel, Yuri
2
2012
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
Points of bounded height on equivariant compactifications of vector groups. II. Zbl 0963.11034
Chambert-Loir, Antoine; Tschinkel, Yuri
2
2000
Arithmetic torsor and fiber spaces. (Torseurs arithmétiques et espaces fibrés.) Zbl 1001.14005
Chambert-Loir, Antoine; Tschinkel, Yuri
2
2001
Rational points on toric varieties. Zbl 0871.14040
Batyrev, V. V.; Tschinkel, Yu.
1
1995
Cohomological and geometric approaches to rationality problems. New Perspectives. Zbl 1182.14001
1
2010
Stable rationality of Brauer-Severi surface bundles. Zbl 1470.14031
Kresch, Andrew; Tschinkel, Yuri
1
2020
Universal spaces for unramified Galois cohomology. Zbl 1437.12002
Bogomolov, Fedor; Tschinkel, Yuri
1
2017
Rational points and automorphic forms. Zbl 1096.11022
Shalika, Joseph A.; Takloo-Bighash, Ramin; Tschinkel, Yuri
1
2004
Equivariant birational types and Burnside volume. Zbl 07558541
Kresch, Andrew; Tschinkel, Yuri
1
2022
Arithmetic properties of equivariant birational types. Zbl 1470.14028
Kresch, Andrew; Tschinkel, Yuri
2
2021
Birational types of algebraic orbifolds. Zbl 1474.14024
Kresch, Andrew; Tschinkel, Yuri
2
2021
Cycle class maps and birational invariants. Zbl 1487.14014
Hassett, Brendan; Tschinkel, Yuri
1
2021
Involution surface bundles over surfaces. Zbl 1450.14005
Kresch, Andrew; Tschinkel, Yuri
2
2020
Stable rationality of Brauer-Severi surface bundles. Zbl 1470.14031
Kresch, Andrew; Tschinkel, Yuri
1
2020
Specialization of birational types. Zbl 1420.14030
Kontsevich, Maxim; Tschinkel, Yuri
19
2019
On stable rationality of Fano threefolds and del Pezzo fibrations. Zbl 07062937
Hassett, Brendan; Tschinkel, Yuri
16
2019
A very general quartic double fourfold is not stably rational. Zbl 07020392
Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri
11
2019
Cubic fourfolds fibered in sextic del Pezzo surfaces. Zbl 1471.14031
Addington, Nicolas; Hassett, Brendan; Tschinkel, Yuri; Várilly-Alvarado, Anthony
8
2019
Models of Brauer-Severi surface bundles. Zbl 1457.14021
Kresch, Andrew; Tschinkel, Yuri
3
2019
Stable rationality of quadric surface bundles over surfaces. Zbl 1420.14115
Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri
24
2018
Balanced line bundles on Fano varieties. Zbl 1397.14029
Lehmann, Brian; Tanimoto, Sho; Tschinkel, Yuri
9
2018
Intersections of three quadrics in \(\mathbb{P}^7\). Zbl 1423.14102
Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri
6
2018
Torsion of elliptic curves and unlikely intersections. Zbl 1423.14214
Bogomolov, Fedor; Fu, Hang; Tschinkel, Yuri
5
2018
Rational points on \(K3\) surfaces and derived equivalence. Zbl 1386.14136
Hassett, Brendan; Tschinkel, Yuri
4
2017
Universal spaces for unramified Galois cohomology. Zbl 1437.12002
Bogomolov, Fedor; Tschinkel, Yuri
1
2017
Stable rationality and conic bundles. Zbl 1353.14019
Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri
20
2016
On the moduli of degree 4 Del Pezzo surfaces. Zbl 1375.14050
Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri
8
2016
Extremal rays and automorphisms of holomorphic symplectic varieties. Zbl 1370.14037
Hassett, Brendan; Tschinkel, Yuri
6
2016
Height zeta functions of equivariant compactifications of unipotent groups. Zbl 1417.14002
Shalika, Joseph; Tschinkel, Yuri
3
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
21
2015
Balanced line bundles and equivariant compactifications of homogeneous spaces. Zbl 1354.14075
Hassett, Brendan; Tanimoto, Sho; Tschinkel, Yuri
13
2015
Multiple mixing for adele groups and rational points. Zbl 1336.14020
Gorodnik, Alexander; Takloo-Bighash, Ramin; Tschinkel, Yuri
3
2015
Variation of Néron-Severi ranks of reductions of \(K3\) surfaces. Zbl 1311.14039
Costa, Edgar; Tschinkel, Yuri
8
2014
Quartic del Pezzo surfaces over function fields of curves. Zbl 1286.14013
Hassett, Brendan; Tschinkel, Yuri
2
2014
Hodge theory and Lagrangian planes on generalized Kummer fourfolds. Zbl 1296.14008
Hassett, Brendan; Tschinkel, Yuri
14
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
6
2013
Galois theory and projective geometry. Zbl 1311.11105
Bogomolov, Fedor; Tschinkel, Yuri
5
2013
Integral points of bounded height on compactifications of semi-simple groups. Zbl 1304.14024
Takloo-Bighash, Ramin; Tschinkel, Yuri
3
2013
Integral points of bounded height on partial equivariant compactifications of vector groups. Zbl 1348.11055
Chambert-Loir, Antoine; Tschinkel, Yuri
14
2012
Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups. Zbl 1338.11054
Tanimoto, Sho; Tschinkel, Yuri
8
2012
Characterizing projective spaces on deformations of Hilbert schemes of \(K3\) surfaces. Zbl 1235.14037
Harvey, David; Hassett, Brendan; Tschinkel, Yuri
7
2012
Introduction to birational anabelian geometry. Zbl 1290.14017
Bogomolov, Fedor; Tschinkel, Yuri
7
2012
Spaces of sections of quadric surface fibrations over curves. Zbl 1248.14015
Hassett, Brendan; Tschinkel, Yuri
2
2012
Constructing rational curves on \(K3\) surfaces. Zbl 1236.14035
Bogomolov, Fedor; Hassett, Brendan; Tschinkel, Yuri
15
2011
Reconstruction of higher-dimensional function fields. Zbl 1295.14027
Bogomolov, Fedor; Tschinkel, Yuri
6
2011
Effectivity of Brauer-Manin obstructions on surfaces. Zbl 1236.14027
Kresch, Andrew; Tschinkel, Yuri
6
2011
Igusa integrals and volume asymptotics in analytic and adelic geometry. Zbl 1206.11086
Chambert-Loir, Antoine; Tschinkel, Yuri
23
2010
Intersection numbers of extremal rays on holomorphic symplectic varieties. Zbl 1216.14012
Hassett, Brendan; Tschinkel, Yuri
13
2010
Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces. Zbl 1189.14023
Hassett, Brendan; Tschinkel, Yuri
7
2010
A Torelli theorem for curves over finite fields. Zbl 1193.14036
Bogomolov, Fedor; Korotiaev, Mikhail; Tschinkel, Yuri
6
2010
Cohomological and geometric approaches to rationality problems. New Perspectives. Zbl 1182.14001
1
2010
Unramified cohomology of finite groups of Lie type. Zbl 1223.14016
Bogomolov, Fedor; Petrov, Tihomir; Tschinkel, Yuri
1
2010
Moving and ample cones of holomorphic symplectic fourfolds. Zbl 1183.14058
Hassett, Brendan; Tschinkel, Yuri
27
2009
Algebraic varieties with many rational points. Zbl 1193.14030
Tschinkel, Yuri
7
2009
Weak approximation for hypersurfaces of low degree. Zbl 1169.14306
Hassett, Brendan; Tschinkel, Yuri
5
2009
Milnor \(K_2\) and field homomorphisms. Zbl 1247.19002
Bogomolov, Fedor; Tschinkel, Yuri
3
2009
Reconstruction of function fields. Zbl 1155.14016
Bogomolov, Fedor; Tschinkel, Yuri
11
2008
Effectivity of Brauer-Manin obstructions. Zbl 1142.14013
Kresch, Andrew; Tschinkel, Yuri
9
2008
Approximation at places of bad reduction for rationally connected varieties. Zbl 1160.14040
Hassett, Brendan; Tschinkel, Yuri
6
2008
Two examples of Brauer-Manin obstruction to integral points. Zbl 1161.14019
Kresch, Andrew; Tschinkel, Yuri
3
2008
Log Fano varieties over function fields of curves. Zbl 1170.14020
Hassett, Brendan; Tschinkel, Yuri
2
2008
Potential density of rational points for \(K3\) surfaces over function fields. Zbl 1152.14036
Hassett, Brendan; Tschinkel, Yuri
2
2008
Rational points on compactifications of semi-simple groups. Zbl 1122.14019
Shalika, Joseph; Takloo-Bighash, Ramin; Tschinkel, Yuri
13
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
2
2007
Weak approximation over function fields. Zbl 1095.14049
Hassett, Brendan; Tschinkel, Yuri
15
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
11
2005
Curves in Abelian varieties over finite fields. Zbl 1069.14030
Bogomolov, Fedor; Tschinkel, Yuri
3
2005
Couniformization of curves over number fields. Zbl 1223.14027
Bogomolov, Fedor; Tschinkel, Yuri
3
2005
On the arithmetic of del Pezzo surfaces of degree 2. Zbl 1075.14019
Kresch, Andrew; Tschinkel, Yuri
11
2004
Universal torsors and Cox rings. Zbl 1077.14046
Hassett, Brendan; Tschinkel, Yuri
11
2004
Special elliptic fibrations. Zbl 1069.14009
Bogomolov, Fedor; Tschinkel, Yuri
5
2004
Height zeta functions on equivariant compactifications of the Heisenberg group. Zbl 1182.14013
Shalika, Joseph A.; Tschinkel, Yuri
4
2004
Rational points on compactifications of semi-simple groups of rank 1. Zbl 1211.11080
Shalika, Joseph; Tokloo-Bighash, Ramin; Tschinkel, Yuri
4
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
6
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
42
2002
On the effective cone of the moduli space of pointed rational curves. Zbl 1096.14008
Hassett, Brendan; Tschinkel, Yuri
10
2002
Commuting elements in Galois groups of function fields. Zbl 1048.11090
Bogomolov, Fedor; Tschinkel, Yuri
8
2002
Unramified correspondences. Zbl 1082.14511
Bogomolov, Fedor; Tschinkel, Yuri
6
2002
Integral points on punctured Abelian surfaces. Zbl 1071.11032
Kresch, Andrew; Tschinkel, Yuri
1
2002
Rationality of moduli of elliptic fibrations with fixed monodromy. Zbl 1068.14041
Bogomolov, F.; Petrov, T.; Tschinkel, Y.
1
2002
Lectures on height zeta functions of toric varieties. Zbl 1064.14018
Tschinkel, Yuri
1
2002
Rational curves on holomorphic symplectic fourfolds. Zbl 1081.14515
Hassett, B.; Tschinkel, Y.
22
2001
Tamagawa numbers of diagonal cubic surfaces, numerical evidence. Zbl 0961.14012
Peyre, Emmanuel; Tschinkel, Yuri
12
2001
Density of integral points on algebraic varieties. Zbl 1018.14008
Hassett, Brendan; Tschinkel, Yuri
12
2001
Height zeta-functions of fiber spaces. (Fonction zêta des hauteurs des espaces fibrés.) Zbl 1077.14524
Chambert-Loir, Antoine; Tschinkel, Yuri
10
2001
Tamagawa numbers of diagonal cubic surfaces of higher rank. Zbl 1079.11034
Peyre, Emmanuel; Tschinkel, Yuri
4
2001
Arithmetic torsor and fiber spaces. (Torseurs arithmétiques et espaces fibrés.) Zbl 1001.14005
Chambert-Loir, Antoine; Tschinkel, Yuri
2
2001
Rational points on algebraic varieties. Zbl 0974.00037
1
2001
Density of rational points on elliptic \(K3\) surfaces. Zbl 0983.14008
Bogomolov, F. A.; Tschinkel, Yu.
23
2000
Rational points on quartics. Zbl 0982.14013
Harris, Joe; Tschinkel, Yuri
16
2000
Abelian fibrations and rational points on symmetric products. Zbl 0982.14012
Hassett, Brendan; Tschinkel, Yuri
13
2000
Points of bounded height on equivariant compactifications of vector groups. I. Zbl 0963.11033
Chambert-Loir, Antoine; Tschinkel, Yuri
5
2000
Lagrangian subvarieties of abelian fourfolds. Zbl 0995.14017
Bogomolov, Fedor; Tschinkel, Yuri
3
2000
Points of bounded height on equivariant compactifications of vector groups. II. Zbl 0963.11034
Chambert-Loir, Antoine; Tschinkel, Yuri
2
2000
Geometry of equivariant compactifications of \(\mathbb{G}^n_a\). Zbl 0966.14033
Hassett, Brendan; Tschinkel, Yuri
27
1999
On the density of rational points on elliptic fibrations. Zbl 0916.14008
Bogomolov, F. A.; Tschinkel, Yu.
12
1999
Height zeta functions of toric bundles over flag varieties. Zbl 1160.14302
Strauch, Matthias; Tschinkel, Yuri
5
1999
Manin’s conjecture for toric varieties. Zbl 0946.14009
Batyrev, Victor V.; Tschinkel, Yuri
34
1998
Tamagawa numbers of polarized algebraic varieties. Zbl 0926.11045
Batyrev, Victor V.; Tschinkel, Yuri
30
1998
Density of rational points on Enriques surfaces. Zbl 0957.14016
Bogomolov, F. A.; Tschinkel, Yu.
5
1998
Height zeta functions of twisted products. Zbl 0918.11036
Strauch, Matthias; Tschinkel, Yuri
3
1997
...and 8 more Documents
all top 5

Cited by 501 Authors

38 Tschinkel, Yuri
22 Browning, Timothy Daniel
18 Hassett, Brendan
13 Derenthal, Ulrich
12 Bogomolov, Fedor Alekseivich
12 Kresch, Andrew
11 de la Bretèche, Régis
9 Loughran, Daniel
9 Mongardi, Giovanni
9 Várilly-Alvarado, Anthony
8 Elsenhans, Andreas-Stephan
8 Jahnel, Jörg
8 Tanimoto, Sho
7 Cheltsov, Ivan Anatol’evich
7 Verbitsky, Misha
6 Amerik, Ekaterina Yu.
6 Bourqui, David
6 Camere, Chiara
6 Lehmann, Brian
5 Arzhantsev, Ivan Vladimirovich
5 Campana, Frédéric
5 Feigin, Evgeny
5 Frei, Christopher
5 Hausen, Jürgen
5 Macrì, Emanuele
5 Peyre, Emmanuel
5 Sofos, Efthymios
5 Takloo-Bighash, Ramin
5 Thunder, Jeffrey Lin
5 Topaz, Adam
4 Baragar, Arthur
4 Bayer, Arend
4 Colliot-Thélène, Jean-Louis
4 Efrat, Ido
4 Fu, Hang
4 Gorodnik, Alexander
4 Heath-Brown, Roger
4 Knutsen, Andreas Leopold
4 Kollár, János
4 Laface, Antonio
4 Li, Zhiyuan
4 Liedtke, Christian
4 Mináč, Ján
4 Nicaise, Johannes
4 Park, Jihun
4 Sarti, Alessandra
4 Testa, Damiano
4 Tian, Zhiyu
4 van Luijk, Ronald M.
4 Viray, Bianca
4 Voisin, Claire
4 Zhu, Yi
3 Auel, Asher Natan
3 Bakker, Benjamin
3 Blomer, Valentin
3 Boissière, Samuel
3 Brüdern, Jörg
3 Chambert-Loir, Antoine
3 Chen, Qile
3 Chen, Xi
3 Costa, Edgar
3 Degtyarev, Alex
3 Destagnol, Kevin
3 Farkas, Gavril
3 Fontanari, Claudio
3 Fu, Baohua
3 Javanpeykar, Ariyan
3 Keicher, Simon
3 Liebendörfer, Christine
3 Markman, Eyal
3 McKinnon, David
3 Oguiso, Keiji
3 Okada, Takuzo
3 Oprea, Dragos
3 Prokhorov, Yuriĭ Gennad’evich
3 Przhiyalkovskiĭ, Viktor Vladimirovich
3 Rousseau, Erwan
3 Salberger, Per
3 Sawon, Justin
3 Schindler, Damaris
3 Schreieder, Stefan
3 Stellari, Paolo
3 Zong, Runhong
2 Baier, Stephan
2 Bastianelli, Francesco
2 Batyrev, Victor V.
2 Bettin, Sandro
2 Böhning, Christian
2 Borovoi, Mikhail V.
2 Brambilla, Maria Chiara
2 Cao, Yang
2 Corvaja, Pietro
2 Coskun, Izzet
2 Debarre, Olivier
2 Di Cerbo, Gabriele
2 Doran, Charles F.
2 Dzhunusov, Sergey
2 Elizondo, E. Javier
2 Frei, Sarah
2 Fu, Lie
...and 401 more Authors
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Cited in 121 Serials

30 Mathematische Annalen
25 Advances in Mathematics
22 Journal of Number Theory
20 European Journal of Mathematics
19 Mathematische Zeitschrift
19 Transactions of the American Mathematical Society
18 Duke Mathematical Journal
17 Manuscripta Mathematica
15 Annales de l’Institut Fourier
15 Compositio Mathematica
12 Journal für die Reine und Angewandte Mathematik
12 Proceedings of the American Mathematical Society
12 Journal of Algebraic Geometry
10 Inventiones Mathematicae
9 Mathematics of Computation
9 Research in Number Theory
8 Journal de Théorie des Nombres de Bordeaux
8 Journal of the European Mathematical Society (JEMS)
7 Israel Journal of Mathematics
7 Acta Arithmetica
7 Journal of Algebra
6 Mathematical Proceedings of the Cambridge Philosophical Society
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Michigan Mathematical Journal
5 Geometric and Functional Analysis. GAFA
5 Communications in Contemporary Mathematics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of the Institute of Mathematics of Jussieu
5 Forum of Mathematics, Sigma
4 Journal of Geometry and Physics
4 Geometriae Dedicata
4 Journal of Pure and Applied Algebra
4 Mathematika
4 Nagoya Mathematical Journal
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 International Journal of Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Journal of Mathematical Sciences (New York)
4 Selecta Mathematica. New Series
4 Central European Journal of Mathematics
4 Algebra & Number Theory
4 Kyoto Journal of Mathematics
4 Journal de l’École Polytechnique – Mathématiques
3 Communications in Algebra
3 Communications on Pure and Applied Mathematics
3 Mathematical Notes
3 Journal of the London Mathematical Society. Second Series
3 Monatshefte für Mathematik
3 Journal of the American Mathematical Society
3 Bulletin of the American Mathematical Society. New Series
3 Experimental Mathematics
3 Transformation Groups
3 International Journal of Number Theory
3 Research in the Mathematical Sciences
2 The Mathematical Intelligencer
2 Commentarii Mathematici Helvetici
2 Functiones et Approximatio. Commentarii Mathematici
2 Publications Mathématiques
2 Memoirs of the American Mathematical Society
2 Tôhoku Mathematical Journal. Second Series
2 Acta Mathematica Hungarica
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Sbornik: Mathematics
2 The Ramanujan Journal
2 Journal of High Energy Physics
2 Advances in Geometry
2 Proceedings of the Steklov Institute of Mathematics
2 Journal of Modern Dynamics
2 Science China. Mathematics
1 Communications in Mathematical Physics
1 Journal of Mathematical Analysis and Applications
1 Periodica Mathematica Hungarica
1 Problems of Information Transmission
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 American Journal of Mathematics
1 Canadian Journal of Mathematics
1 Collectanea Mathematica
1 Functional Analysis and its Applications
1 Journal of the Mathematical Society of Japan
1 The Journal of Symbolic Logic
1 Mathematische Nachrichten
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Ricerche di Matematica
1 Tokyo Journal of Mathematics
1 Ergodic Theory and Dynamical Systems
1 Bulletin of the Korean Mathematical Society
1 Revista Matemática Iberoamericana
1 International Journal of Algebra and Computation
1 IMRN. International Mathematics Research Notices
1 L’Enseignement Mathématique. 2e Série
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Review
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
...and 21 more Serials
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Cited in 38 Fields

456 Algebraic geometry (14-XX)
219 Number theory (11-XX)
35 Several complex variables and analytic spaces (32-XX)
27 Differential geometry (53-XX)
18 Field theory and polynomials (12-XX)
16 Group theory and generalizations (20-XX)
13 Dynamical systems and ergodic theory (37-XX)
12 Commutative algebra (13-XX)
8 Category theory; homological algebra (18-XX)
7 Topological groups, Lie groups (22-XX)
5 \(K\)-theory (19-XX)
5 Quantum theory (81-XX)
4 Nonassociative rings and algebras (17-XX)
4 Algebraic topology (55-XX)
3 History and biography (01-XX)
3 Associative rings and algebras (16-XX)
3 Functions of a complex variable (30-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Computer science (68-XX)
2 Combinatorics (05-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Special functions (33-XX)
2 Partial differential equations (35-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Abstract harmonic analysis (43-XX)
2 Convex and discrete geometry (52-XX)
2 Manifolds and cell complexes (57-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 Probability theory and stochastic processes (60-XX)
1 Numerical analysis (65-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

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