## Tschinkel, Yuri

Compute Distance To:
 Author ID: tschinkel.yuri Published as: Tschinkel, Yuri; Tschinkel, Yu.; Tschinkel, Y. External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 124 Publications since 1989 21 Contributions as Editor Co-Authors: 60 Co-Authors with 133 Joint Publications 1,366 Co-Co-Authors
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### Co-Authors

 12 single-authored 42 Hassett, Brendan 35 Bogomolov, Fedor Alekseivich 15 Kresch, Andrew 7 Chambert-Loir, Antoine 6 Batyrev, Victor V. 5 Shalika, Joseph A. 5 Takloo-Bighash, Ramin 3 Manin, Yuri Ivanovich 3 Peyre, Emmanuel 3 Pirutka, Alena 3 Tanimoto, Sho 2 Franke, Jens 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 Colliot-Thélène, Jean-Louis 1 Costa, Edgar 1 Darmon, Henri René 1 Derenthal, Ulrich 1 Duke, William Drexel 1 El Yacoubi, Nouzha 1 Ellwood, David Alexandre 1 Foupouagnigni, Mama 1 Fu, Hang 1 Gan, Wee Teck 1 Gasbarri, Carlo 1 Gorodnik, Alexander 1 Harris, Joseph Daniel 1 Harvey, David I. 1 Jofré, Alejandro 1 Kaledin, Dmitry B. 1 Katzarkov, Ludmil 1 Kneser, Martin 1 Koch, Lena 1 Kollár, János 1 Kontsevich, Maxim Lvovich 1 Korotiaev, Mikhail 1 Kudla, Stephen S. 1 Lehmann, Brian 1 Lu, Steven Shin-Yi 1 Ogana, Wandera 1 Pantev, Tony G. 1 Parimala, Raman 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 Várilly-Alvarado, Anthony 1 Yang, Kaiqi 1 Ziegler, Günter Matthias
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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 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 Pure and Applied Mathematics Quarterly 3 European Journal of Mathematics 2 Advances in Mathematics 2 Compositio Mathematica 2 Mathematische Zeitschrift 2 Mathematical Research Letters 2 Clay Mathematics Proceedings 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 Selecta Mathematica. New Series 1 Sbornik: Mathematics 1 European Mathematical Society Newsletter 1 Journal of the Institute of Mathematics of Jussieu 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 Research in Number Theory
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### Fields

 134 Algebraic geometry (14-XX) 65 Number theory (11-XX) 19 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 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 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-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)

### Citations contained in zbMATH Open

104 Publications have been cited 960 times in 503 Documents Cited by Year
Rational points of bounded height on Fano varieties. Zbl 0674.14012
Franke, Jens; Manin, Yuri I.; Tschinkel, Yuri
1989
On the distribution of points of bounded height on equivariant compactifications of vector groups. Zbl 1067.11036
Chambert-Loir, Antoine; Tschinkel, Yuri
2002
Manin’s conjecture for toric varieties. Zbl 0946.14009
Batyrev, Victor V.; Tschinkel, Yuri
1998
Tamagawa numbers of polarized algebraic varieties. Zbl 0926.11045
Batyrev, Victor V.; Tschinkel, Yuri
1998
Moving and ample cones of holomorphic symplectic fourfolds. Zbl 1183.14058
Hassett, Brendan; Tschinkel, Yuri
2009
Geometry of equivariant compactifications of $$\mathbb{G}^n_a$$. Zbl 0966.14033
Hassett, Brendan; Tschinkel, Yuri
1999
Igusa integrals and volume asymptotics in analytic and adelic geometry. Zbl 1206.11086
Chambert-Loir, Antoine; Tschinkel, Yuri
2010
Rational points of bounded height on compactifications of anisotropic tori. Zbl 0890.14008
Batyrev, Victor V.; Tschinkel, Yuri
1995
Density of rational points on elliptic $$K3$$ surfaces. Zbl 0983.14008
Bogomolov, F. A.; Tschinkel, Yu.
2000
Rational curves on holomorphic symplectic fourfolds. Zbl 1081.14515
Hassett, B.; Tschinkel, Y.
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
2015
Stable rationality of quadric surface bundles over surfaces. Zbl 1420.14115
Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri
2018
Rational points on some Fano cubic bundles. Zbl 0879.14007
Batyrev, Victor V.; Tschinkel, Yuri
1996
Stable rationality and conic bundles. Zbl 1353.14019
Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri
2016
Rational points on quartics. Zbl 0982.14013
Harris, Joe; Tschinkel, Yuri
2000
Specialization of birational types. Zbl 1420.14030
Kontsevich, Maxim; Tschinkel, Yuri
2019
Hodge theory and Lagrangian planes on generalized Kummer fourfolds. Zbl 1296.14008
Hassett, Brendan; Tschinkel, Yuri
2013
Height zeta functions of toric varieties. Zbl 0915.14013
Batyrev, V.; Tschinkel, Yu.
1996
Weak approximation over function fields. Zbl 1095.14049
Hassett, Brendan; Tschinkel, Yuri
2006
Intersection numbers of extremal rays on holomorphic symplectic varieties. Zbl 1216.14012
Hassett, Brendan; Tschinkel, Yuri
2010
Abelian fibrations and rational points on symmetric products. Zbl 0982.14012
Hassett, Brendan; Tschinkel, Yuri
2000
On stable rationality of Fano threefolds and del Pezzo fibrations. Zbl 07062937
Hassett, Brendan; Tschinkel, Yuri
2019
Tamagawa numbers of diagonal cubic surfaces, numerical evidence. Zbl 0961.14012
Peyre, Emmanuel; Tschinkel, Yuri
2001
Constructing rational curves on $$K3$$ surfaces. Zbl 1236.14035
Bogomolov, Fedor; Hassett, Brendan; Tschinkel, Yuri
2011
Integral points of bounded height on partial equivariant compactifications of vector groups. Zbl 1348.11055
Chambert-Loir, Antoine; Tschinkel, Yuri
2012
Rational points on compactifications of semi-simple groups. Zbl 1122.14019
Shalika, Joseph; Takloo-Bighash, Ramin; Tschinkel, Yuri
2007
On the arithmetic of del Pezzo surfaces of degree 2. Zbl 1075.14019
Kresch, Andrew; Tschinkel, Yuri
2004
Universal torsors and Cox rings. Zbl 1077.14046
Hassett, Brendan; Tschinkel, Yuri
2004
Balanced line bundles and equivariant compactifications of homogeneous spaces. Zbl 1354.14075
Hassett, Brendan; Tanimoto, Sho; Tschinkel, Yuri
2015
On the density of rational points on elliptic fibrations. Zbl 0916.14008
Bogomolov, F. A.; Tschinkel, Yu.
1999
Reconstruction of function fields. Zbl 1155.14016
Bogomolov, Fedor; Tschinkel, Yuri
2008
Universal torsors over del Pezzo surfaces and rational points. Zbl 1143.14017
Derenthal, Ulrich; Tschinkel, Yuri
2007
Height zeta-functions of fiber spaces. (Fonction zêta des hauteurs des espaces fibrés.) Zbl 1077.14524
Chambert-Loir, Antoine; Tschinkel, Yuri
2001
Density of integral points on algebraic varieties. Zbl 1018.14008
Hassett, Brendan; Tschinkel, Yuri
2001
On the effective cone of the moduli space of pointed rational curves. Zbl 1096.14008
Hassett, Brendan; Tschinkel, Yuri
2002
A very general quartic double fourfold is not stably rational. Zbl 07020392
Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri
2019
Effectivity of Brauer-Manin obstructions. Zbl 1142.14013
Kresch, Andrew; Tschinkel, Yuri
2008
Rational curves and points on $$K3$$ surfaces. Zbl 1082.14025
Bogomolov, Fedor; Tschinkel, Yuri
2005
Commuting elements in Galois groups of function fields. Zbl 1048.11090
Bogomolov, Fedor; Tschinkel, Yuri
2002
Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups. Zbl 1338.11054
Tanimoto, Sho; Tschinkel, Yuri
2012
Characterizing projective spaces on deformations of Hilbert schemes of $$K3$$ surfaces. Zbl 1235.14037
Harvey, David; Hassett, Brendan; Tschinkel, Yuri
2012
Introduction to birational anabelian geometry. Zbl 1290.14017
Bogomolov, Fedor; Tschinkel, Yuri
2012
Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces. Zbl 1189.14023
Hassett, Brendan; Tschinkel, Yuri
2010
Algebraic varieties with many rational points. Zbl 1193.14030
Tschinkel, Yuri
2009
Cubic fourfolds fibered in sextic del Pezzo surfaces. Zbl 1471.14031
2019
Balanced line bundles on Fano varieties. Zbl 1397.14029
Lehmann, Brian; Tanimoto, Sho; Tschinkel, Yuri
2018
On the moduli of degree 4 Del Pezzo surfaces. Zbl 1375.14050
Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri
2016
Effectivity of Brauer-Manin obstructions on surfaces. Zbl 1236.14027
Kresch, Andrew; Tschinkel, Yuri
2011
Algebraic varieties over small fields. Zbl 1142.14016
Bogomolov, Fedor; Tschinkel, Yuri
2007
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
2013
Reconstruction of higher-dimensional function fields. Zbl 1295.14027
Bogomolov, Fedor; Tschinkel, Yuri
2011
Unramified correspondences. Zbl 1082.14511
Bogomolov, Fedor; Tschinkel, Yuri
2002
Fujita’s program and rational points. Zbl 1112.14021
Tschinkel, Yuri
2003
Approximation at places of bad reduction for rationally connected varieties. Zbl 1160.14040
Hassett, Brendan; Tschinkel, Yuri
2008
Intersections of three quadrics in $$\mathbb{P}^7$$. Zbl 1423.14102
Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri
2018
Extremal rays and automorphisms of holomorphic symplectic varieties. Zbl 1370.14037
Hassett, Brendan; Tschinkel, Yuri
2016
Special elliptic fibrations. Zbl 1069.14009
Bogomolov, Fedor; Tschinkel, Yuri
2004
Weak approximation for hypersurfaces of low degree. Zbl 1169.14306
Hassett, Brendan; Tschinkel, Yuri
2009
Points of bounded height on equivariant compactifications of vector groups. I. Zbl 0963.11033
Chambert-Loir, Antoine; Tschinkel, Yuri
2000
Density of rational points on Enriques surfaces. Zbl 0957.14016
Bogomolov, F. A.; Tschinkel, Yu.
1998
A Torelli theorem for curves over finite fields. Zbl 1193.14036
Bogomolov, Fedor; Korotiaev, Mikhail; Tschinkel, Yuri
2010
Height zeta functions of toric bundles over flag varieties. Zbl 1160.14302
Strauch, Matthias; Tschinkel, Yuri
1999
Variation of Néron-Severi ranks of reductions of $$K3$$ surfaces. Zbl 1311.14039
Costa, Edgar; Tschinkel, Yuri
2014
Galois theory and projective geometry. Zbl 1311.11105
Bogomolov, Fedor; Tschinkel, Yuri
2013
Height zeta functions on equivariant compactifications of the Heisenberg group. Zbl 1182.14013
Shalika, Joseph A.; Tschinkel, Yuri
2004
Rational points on compactifications of semi-simple groups of rank 1. Zbl 1211.11080
Shalika, Joseph; Tokloo-Bighash, Ramin; Tschinkel, Yuri
2004
Tamagawa numbers of diagonal cubic surfaces of higher rank. Zbl 1079.11034
Peyre, Emmanuel; Tschinkel, Yuri
2001
Points of bounded height on del Pezzo surfaces. Zbl 0782.14033
Manin, Yu. I.; Tschinkel, Yu.
1993
Rational points on $$K3$$ surfaces and derived equivalence. Zbl 1386.14136
Hassett, Brendan; Tschinkel, Yuri
2017
Integral points of bounded height on compactifications of semi-simple groups. Zbl 1304.14024
Takloo-Bighash, Ramin; Tschinkel, Yuri
2013
Integral points and effective cones of moduli spaces of stable maps. Zbl 1105.14033
Hassett, Brendan; Tschinkel, Yuri
2003
Lagrangian subvarieties of abelian fourfolds. Zbl 0995.14017
Bogomolov, Fedor; Tschinkel, Yuri
2000
Curves in Abelian varieties over finite fields. Zbl 1069.14030
Bogomolov, Fedor; Tschinkel, Yuri
2005
Monodromy of elliptic surfaces. Zbl 1093.14053
Bogomolov, Fedor; Tschinkel, Yuri
2003
Multiple mixing for adele groups and rational points. Zbl 1336.14020
Gorodnik, Alexander; Takloo-Bighash, Ramin; Tschinkel, Yuri
2015
Height zeta functions of twisted products. Zbl 0918.11036
Strauch, Matthias; Tschinkel, Yuri
1997
Milnor $$K_2$$ and field homomorphisms. Zbl 1247.19002
Bogomolov, Fedor; Tschinkel, Yuri
2009
Two examples of Brauer-Manin obstruction to integral points. Zbl 1161.14019
Kresch, Andrew; Tschinkel, Yuri
2008
Couniformization of curves over number fields. Zbl 1223.14027
Bogomolov, Fedor; Tschinkel, Yuri
2005
Torsion of elliptic curves and unlikely intersections. Zbl 1423.14214
Bogomolov, Fedor; Fu, Hang; Tschinkel, Yuri
2018
Height zeta functions of equivariant compactifications of unipotent groups. Zbl 1417.14002
Shalika, Joseph; Tschinkel, Yuri
2016
Erratum: Rational points of bounded height on Fano varieties. Zbl 0709.14017
Franke, Jens; Manin, Yuri I.; Tschinkel, Yuri
1990
The Felix Klein Protocols. Zbl 1279.01034
Chislenko, Eugene; Tschinkel, Yuri
2007
Quartic del Pezzo surfaces over function fields of curves. Zbl 1286.14013
Hassett, Brendan; Tschinkel, Yuri
2014
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
2004
Points of bounded height on equivariant compactifications of vector groups. II. Zbl 0963.11034
Chambert-Loir, Antoine; Tschinkel, Yuri
2000
Arithmetic torsor and fiber spaces. (Torseurs arithmétiques et espaces fibrés.) Zbl 1001.14005
Chambert-Loir, Antoine; Tschinkel, Yuri
2001
Spaces of sections of quadric surface fibrations over curves. Zbl 1248.14015
Hassett, Brendan; Tschinkel, Yuri
2012
Geometry over nonclosed fields. Zbl 1105.14024
Tschinkel, Yuri
2006
Potential density of rational points for $$K3$$ surfaces over function fields. Zbl 1152.14036
Hassett, Brendan; Tschinkel, Yuri
2008
Log Fano varieties over function fields of curves. Zbl 1170.14020
Hassett, Brendan; Tschinkel, Yuri
2008
Models of Brauer-Severi surface bundles. Zbl 1457.14021
Kresch, Andrew; Tschinkel, Yuri
2019
Integral points on punctured Abelian surfaces. Zbl 1071.11032
Kresch, Andrew; Tschinkel, Yuri
2002
Rational points and automorphic forms. Zbl 1096.11022
Shalika, Joseph A.; Takloo-Bighash, Ramin; Tschinkel, Yuri
2004
Rational points on algebraic varieties. Zbl 0974.00037
2001
Finite heights and rational points on surfaces. Zbl 0814.14026
Tschinkel, Yuri
1993
Rationality of moduli of elliptic fibrations with fixed monodromy. Zbl 1068.14041
Bogomolov, F.; Petrov, T.; Tschinkel, Y.
2002
Lectures on height zeta functions of toric varieties. Zbl 1064.14018
Tschinkel, Yuri
2002
Cohomological and geometric approaches to rationality problems. New Perspectives. Zbl 1182.14001
2010
Rational points on toric varieties. Zbl 0871.14040
Batyrev, V. V.; Tschinkel, Yu.
1995
Cycle class maps and birational invariants. Zbl 07447014
Hassett, Brendan; Tschinkel, Yuri
2021
Stable rationality of Brauer-Severi surface bundles. Zbl 1470.14031
Kresch, Andrew; Tschinkel, Yuri
2020
Involution surface bundles over surfaces. Zbl 1450.14005
Kresch, Andrew; Tschinkel, Yuri
2020
Specialization of birational types. Zbl 1420.14030
Kontsevich, Maxim; Tschinkel, Yuri
2019
On stable rationality of Fano threefolds and del Pezzo fibrations. Zbl 07062937
Hassett, Brendan; Tschinkel, Yuri
2019
A very general quartic double fourfold is not stably rational. Zbl 07020392
Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri
2019
Cubic fourfolds fibered in sextic del Pezzo surfaces. Zbl 1471.14031
2019
Models of Brauer-Severi surface bundles. Zbl 1457.14021
Kresch, Andrew; Tschinkel, Yuri
2019
Stable rationality of quadric surface bundles over surfaces. Zbl 1420.14115
Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri
2018
Balanced line bundles on Fano varieties. Zbl 1397.14029
Lehmann, Brian; Tanimoto, Sho; Tschinkel, Yuri
2018
Intersections of three quadrics in $$\mathbb{P}^7$$. Zbl 1423.14102
Hassett, Brendan; Pirutka, Alena; Tschinkel, Yuri
2018
Torsion of elliptic curves and unlikely intersections. Zbl 1423.14214
Bogomolov, Fedor; Fu, Hang; Tschinkel, Yuri
2018
Rational points on $$K3$$ surfaces and derived equivalence. Zbl 1386.14136
Hassett, Brendan; Tschinkel, Yuri
2017
Stable rationality and conic bundles. Zbl 1353.14019
Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri
2016
On the moduli of degree 4 Del Pezzo surfaces. Zbl 1375.14050
Hassett, Brendan; Kresch, Andrew; Tschinkel, Yuri
2016
Extremal rays and automorphisms of holomorphic symplectic varieties. Zbl 1370.14037
Hassett, Brendan; Tschinkel, Yuri
2016
Height zeta functions of equivariant compactifications of unipotent groups. Zbl 1417.14002
Shalika, Joseph; Tschinkel, Yuri
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
2015
Balanced line bundles and equivariant compactifications of homogeneous spaces. Zbl 1354.14075
Hassett, Brendan; Tanimoto, Sho; Tschinkel, Yuri
2015
Multiple mixing for adele groups and rational points. Zbl 1336.14020
Gorodnik, Alexander; Takloo-Bighash, Ramin; Tschinkel, Yuri
2015
Variation of Néron-Severi ranks of reductions of $$K3$$ surfaces. Zbl 1311.14039
Costa, Edgar; Tschinkel, Yuri
2014
Quartic del Pezzo surfaces over function fields of curves. Zbl 1286.14013
Hassett, Brendan; Tschinkel, Yuri
2014
Hodge theory and Lagrangian planes on generalized Kummer fourfolds. Zbl 1296.14008
Hassett, Brendan; Tschinkel, Yuri
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
2013
Galois theory and projective geometry. Zbl 1311.11105
Bogomolov, Fedor; Tschinkel, Yuri
2013
Integral points of bounded height on compactifications of semi-simple groups. Zbl 1304.14024
Takloo-Bighash, Ramin; Tschinkel, Yuri
2013
Integral points of bounded height on partial equivariant compactifications of vector groups. Zbl 1348.11055
Chambert-Loir, Antoine; Tschinkel, Yuri
2012
Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups. Zbl 1338.11054
Tanimoto, Sho; Tschinkel, Yuri
2012
Characterizing projective spaces on deformations of Hilbert schemes of $$K3$$ surfaces. Zbl 1235.14037
Harvey, David; Hassett, Brendan; Tschinkel, Yuri
2012
Introduction to birational anabelian geometry. Zbl 1290.14017
Bogomolov, Fedor; Tschinkel, Yuri
2012
Spaces of sections of quadric surface fibrations over curves. Zbl 1248.14015
Hassett, Brendan; Tschinkel, Yuri
2012
Constructing rational curves on $$K3$$ surfaces. Zbl 1236.14035
Bogomolov, Fedor; Hassett, Brendan; Tschinkel, Yuri
2011
Effectivity of Brauer-Manin obstructions on surfaces. Zbl 1236.14027
Kresch, Andrew; Tschinkel, Yuri
2011
Reconstruction of higher-dimensional function fields. Zbl 1295.14027
Bogomolov, Fedor; Tschinkel, Yuri
2011
Igusa integrals and volume asymptotics in analytic and adelic geometry. Zbl 1206.11086
Chambert-Loir, Antoine; Tschinkel, Yuri
2010
Intersection numbers of extremal rays on holomorphic symplectic varieties. Zbl 1216.14012
Hassett, Brendan; Tschinkel, Yuri
2010
Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces. Zbl 1189.14023
Hassett, Brendan; Tschinkel, Yuri
2010
A Torelli theorem for curves over finite fields. Zbl 1193.14036
Bogomolov, Fedor; Korotiaev, Mikhail; Tschinkel, Yuri
2010
Cohomological and geometric approaches to rationality problems. New Perspectives. Zbl 1182.14001
2010
Unramified cohomology of finite groups of Lie type. Zbl 1223.14016
Bogomolov, Fedor; Petrov, Tihomir; Tschinkel, Yuri
2010
Moving and ample cones of holomorphic symplectic fourfolds. Zbl 1183.14058
Hassett, Brendan; Tschinkel, Yuri
2009
Algebraic varieties with many rational points. Zbl 1193.14030
Tschinkel, Yuri
2009
Weak approximation for hypersurfaces of low degree. Zbl 1169.14306
Hassett, Brendan; Tschinkel, Yuri
2009
Milnor $$K_2$$ and field homomorphisms. Zbl 1247.19002
Bogomolov, Fedor; Tschinkel, Yuri
2009
Reconstruction of function fields. Zbl 1155.14016
Bogomolov, Fedor; Tschinkel, Yuri
2008
Effectivity of Brauer-Manin obstructions. Zbl 1142.14013
Kresch, Andrew; Tschinkel, Yuri
2008
Approximation at places of bad reduction for rationally connected varieties. Zbl 1160.14040
Hassett, Brendan; Tschinkel, Yuri
2008
Two examples of Brauer-Manin obstruction to integral points. Zbl 1161.14019
Kresch, Andrew; Tschinkel, Yuri
2008
Potential density of rational points for $$K3$$ surfaces over function fields. Zbl 1152.14036
Hassett, Brendan; Tschinkel, Yuri
2008
Log Fano varieties over function fields of curves. Zbl 1170.14020
Hassett, Brendan; Tschinkel, Yuri
2008
Rational points on compactifications of semi-simple groups. Zbl 1122.14019
Shalika, Joseph; Takloo-Bighash, Ramin; Tschinkel, Yuri
2007
Universal torsors over del Pezzo surfaces and rational points. Zbl 1143.14017
Derenthal, Ulrich; Tschinkel, Yuri
2007
Algebraic varieties over small fields. Zbl 1142.14016
Bogomolov, Fedor; Tschinkel, Yuri
2007
The Felix Klein Protocols. Zbl 1279.01034
Chislenko, Eugene; Tschinkel, Yuri
2007
Weak approximation over function fields. Zbl 1095.14049
Hassett, Brendan; Tschinkel, Yuri
2006
Geometry over nonclosed fields. Zbl 1105.14024
Tschinkel, Yuri
2006
Rational curves and points on $$K3$$ surfaces. Zbl 1082.14025
Bogomolov, Fedor; Tschinkel, Yuri
2005
Curves in Abelian varieties over finite fields. Zbl 1069.14030
Bogomolov, Fedor; Tschinkel, Yuri
2005
Couniformization of curves over number fields. Zbl 1223.14027
Bogomolov, Fedor; Tschinkel, Yuri
2005
On the arithmetic of del Pezzo surfaces of degree 2. Zbl 1075.14019
Kresch, Andrew; Tschinkel, Yuri
2004
Universal torsors and Cox rings. Zbl 1077.14046
Hassett, Brendan; Tschinkel, Yuri
2004
Special elliptic fibrations. Zbl 1069.14009
Bogomolov, Fedor; Tschinkel, Yuri
2004
Height zeta functions on equivariant compactifications of the Heisenberg group. Zbl 1182.14013
Shalika, Joseph A.; Tschinkel, Yuri
2004
Rational points on compactifications of semi-simple groups of rank 1. Zbl 1211.11080
Shalika, Joseph; Tokloo-Bighash, Ramin; Tschinkel, Yuri
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
2004
Rational points and automorphic forms. Zbl 1096.11022
Shalika, Joseph A.; Takloo-Bighash, Ramin; Tschinkel, Yuri
2004
Fujita’s program and rational points. Zbl 1112.14021
Tschinkel, Yuri
2003
Integral points and effective cones of moduli spaces of stable maps. Zbl 1105.14033
Hassett, Brendan; Tschinkel, Yuri
2003
Monodromy of elliptic surfaces. Zbl 1093.14053
Bogomolov, Fedor; Tschinkel, Yuri
2003
On the distribution of points of bounded height on equivariant compactifications of vector groups. Zbl 1067.11036
Chambert-Loir, Antoine; Tschinkel, Yuri
2002
On the effective cone of the moduli space of pointed rational curves. Zbl 1096.14008
Hassett, Brendan; Tschinkel, Yuri
2002
Commuting elements in Galois groups of function fields. Zbl 1048.11090
Bogomolov, Fedor; Tschinkel, Yuri
2002
Unramified correspondences. Zbl 1082.14511
Bogomolov, Fedor; Tschinkel, Yuri
2002
Integral points on punctured Abelian surfaces. Zbl 1071.11032
Kresch, Andrew; Tschinkel, Yuri
2002
Rationality of moduli of elliptic fibrations with fixed monodromy. Zbl 1068.14041
Bogomolov, F.; Petrov, T.; Tschinkel, Y.
2002
Lectures on height zeta functions of toric varieties. Zbl 1064.14018
Tschinkel, Yuri
2002
Rational curves on holomorphic symplectic fourfolds. Zbl 1081.14515
Hassett, B.; Tschinkel, Y.
2001
Tamagawa numbers of diagonal cubic surfaces, numerical evidence. Zbl 0961.14012
Peyre, Emmanuel; Tschinkel, Yuri
2001
Height zeta-functions of fiber spaces. (Fonction zêta des hauteurs des espaces fibrés.) Zbl 1077.14524
Chambert-Loir, Antoine; Tschinkel, Yuri
2001
Density of integral points on algebraic varieties. Zbl 1018.14008
Hassett, Brendan; Tschinkel, Yuri
2001
Tamagawa numbers of diagonal cubic surfaces of higher rank. Zbl 1079.11034
Peyre, Emmanuel; Tschinkel, Yuri
2001
Arithmetic torsor and fiber spaces. (Torseurs arithmétiques et espaces fibrés.) Zbl 1001.14005
Chambert-Loir, Antoine; Tschinkel, Yuri
2001
Rational points on algebraic varieties. Zbl 0974.00037
2001
Density of rational points on elliptic $$K3$$ surfaces. Zbl 0983.14008
Bogomolov, F. A.; Tschinkel, Yu.
2000
Rational points on quartics. Zbl 0982.14013
Harris, Joe; Tschinkel, Yuri
2000
Abelian fibrations and rational points on symmetric products. Zbl 0982.14012
Hassett, Brendan; Tschinkel, Yuri
2000
Points of bounded height on equivariant compactifications of vector groups. I. Zbl 0963.11033
Chambert-Loir, Antoine; Tschinkel, Yuri
2000
Lagrangian subvarieties of abelian fourfolds. Zbl 0995.14017
Bogomolov, Fedor; Tschinkel, Yuri
2000
Points of bounded height on equivariant compactifications of vector groups. II. Zbl 0963.11034
Chambert-Loir, Antoine; Tschinkel, Yuri
2000
Geometry of equivariant compactifications of $$\mathbb{G}^n_a$$. Zbl 0966.14033
Hassett, Brendan; Tschinkel, Yuri
1999
On the density of rational points on elliptic fibrations. Zbl 0916.14008
Bogomolov, F. A.; Tschinkel, Yu.
1999
Height zeta functions of toric bundles over flag varieties. Zbl 1160.14302
Strauch, Matthias; Tschinkel, Yuri
1999
Manin’s conjecture for toric varieties. Zbl 0946.14009
Batyrev, Victor V.; Tschinkel, Yuri
1998
Tamagawa numbers of polarized algebraic varieties. Zbl 0926.11045
Batyrev, Victor V.; Tschinkel, Yuri
1998
Density of rational points on Enriques surfaces. Zbl 0957.14016
Bogomolov, F. A.; Tschinkel, Yu.
1998
Height zeta functions of twisted products. Zbl 0918.11036
Strauch, Matthias; Tschinkel, Yuri
1997
Rational points on some Fano cubic bundles. Zbl 0879.14007
Batyrev, Victor V.; Tschinkel, Yuri
1996
Height zeta functions of toric varieties. Zbl 0915.14013
Batyrev, V.; Tschinkel, Yu.
1996
Rational points of bounded height on compactifications of anisotropic tori. Zbl 0890.14008
Batyrev, Victor V.; Tschinkel, Yuri
1995
Rational points on toric varieties. Zbl 0871.14040
Batyrev, V. V.; Tschinkel, Yu.
1995
...and 4 more Documents
all top 5

### Cited by 474 Authors

 35 Tschinkel, Yuri 22 Browning, Timothy Daniel 17 Hassett, Brendan 13 Derenthal, Ulrich 11 Bogomolov, Fedor Alekseivich 11 de la Bretèche, Régis 10 Kresch, Andrew 9 Loughran, Daniel 8 Mongardi, Giovanni 8 Várilly-Alvarado, Anthony 7 Cheltsov, Ivan Anatol’evich 7 Elsenhans, Andreas-Stephan 7 Jahnel, Jörg 7 Verbitsky, Misha 6 Amerik, Ekaterina Yu. 6 Bourqui, David 6 Camere, Chiara 6 Tanimoto, Sho 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 Gorodnik, Alexander 4 Heath-Brown, Roger 4 Knutsen, Andreas Leopold 4 Kollár, János 4 Laface, Antonio 4 Lehmann, Brian 4 Li, Zhiyuan 4 Liedtke, Christian 4 Mináč, Ján 4 Park, Jihun 4 Sarti, Alessandra 4 Testa, Damiano 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 Fu, Hang 3 Javanpeykar, Ariyan 3 Keicher, Simon 3 Liebendörfer, Christine 3 Markman, Eyal 3 Nicaise, Johannes 3 Oguiso, Keiji 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 Tian, Zhiyu 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 Di Cerbo, Gabriele 2 Doran, Charles F. 2 Elizondo, E. Javier 2 Fu, Lie 2 Gritsenko, Valeriĭ Alekseevich 2 Gross, Mark 2 Gunther, Joseph 2 Hajli, Mounir 2 Harpaz, Yonatan 2 Honigs, Katrina ...and 374 more Authors
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### Cited in 117 Serials

 29 Mathematische Annalen 24 Advances in Mathematics 21 Journal of Number Theory 19 Transactions of the American Mathematical Society 18 Mathematische Zeitschrift 17 Duke Mathematical Journal 17 Manuscripta Mathematica 16 European Journal of Mathematics 14 Compositio Mathematica 13 Annales de l’Institut Fourier 11 Journal für die Reine und Angewandte Mathematik 11 Proceedings of the American Mathematical Society 11 Journal of Algebraic Geometry 10 Inventiones Mathematicae 9 Mathematics of Computation 8 Journal de Théorie des Nombres de Bordeaux 8 Journal of the European Mathematical Society (JEMS) 8 Research in Number Theory 7 Israel Journal of Mathematics 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Acta Arithmetica 6 Journal of Algebra 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 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 4 Journal of Geometry and Physics 4 Geometriae Dedicata 4 Mathematika 4 Michigan Mathematical Journal 4 Nagoya Mathematical Journal 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Mathematical Sciences (New York) 4 Central European Journal of Mathematics 4 Algebra & Number Theory 4 Kyoto Journal of Mathematics 4 Forum of Mathematics, Sigma 4 Journal de l’École Polytechnique – Mathématiques 3 Communications on Pure and Applied Mathematics 3 Mathematical Notes 3 Journal of the London Mathematical Society. Second Series 3 Journal of Pure and Applied Algebra 3 Monatshefte für Mathematik 3 Journal of the American Mathematical Society 3 International Journal of Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Experimental Mathematics 3 Selecta Mathematica. New Series 3 Transformation Groups 3 International Journal of Number Theory 3 Research in the Mathematical Sciences 2 Communications in Algebra 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 Tohoku 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 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 1 St. Petersburg Mathematical Journal ...and 17 more Serials
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### Cited in 37 Fields

 428 Algebraic geometry (14-XX) 210 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) 14 Group theory and generalizations (20-XX) 14 Dynamical systems and ergodic theory (37-XX) 11 Commutative algebra (13-XX) 8 Category theory; homological algebra (18-XX) 7 Topological groups, Lie groups (22-XX) 5 $$K$$-theory (19-XX) 4 Nonassociative rings and algebras (17-XX) 4 Algebraic topology (55-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Special functions (33-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 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 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-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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