No photo of Yuri Tschinkel

Yuri Tschinkel

Professor Of Mathematics

    1988 …2019
    If you made any changes in Pure, your changes will be visible here soon.

    Research Output 1988 2019

    Filter
    Article
    2019

    A very general quartic double fourfold is not stably rational

    Hassett, B., Pirutka, A. & Tschinkel, Y., Jan 1 2019, In : Algebraic Geometry. 6, 1, p. 64-75 12 p.

    Research output: Contribution to journalArticle

    Threefolds
    Quartic
    Cover

    Homomorphisms of multiplicative groups of fields preserving algebraic dependence

    Bogomolov, F., Rovinsky, M. & Tschinkel, Y., Sep 15 2019, In : European Journal of Mathematics. 5, 3, p. 656-685 30 p.

    Research output: Contribution to journalArticle

    Homomorphisms
    Multiplicative
    Valuation

    Models of brauer–severi surface bundles

    Kresch, A. & Tschinkel, Y., Jul 1 2019, In : Moscow Mathematical Journal. 19, 3, p. 549-595 47 p.

    Research output: Contribution to journalArticle

    Projective Variety
    Rationality
    Bundle
    Roots
    Model

    Models of Triple Covers

    Kresch, A. & Tschinkel, Y., May 1 2019, In : Mathematical Notes. 105, 5-6, p. 795-797 3 p.

    Research output: Contribution to journalArticle

    Algebraic Variety
    Cover
    Model

    On stable rationality of Fano threefolds and del Pezzo fibrations

    Hassett, B. & Tschinkel, Y., Jun 1 2019, In : Journal fur die Reine und Angewandte Mathematik. 2019, 751, p. 275-287 13 p.

    Research output: Contribution to journalArticle

    del operator
    Fibration
    Threefolds
    Rationality

    Specialization of birational types

    Kontsevich, M. & Tschinkel, Y., Jan 1 2019, In : Inventiones Mathematicae.

    Research output: Contribution to journalArticle

    Specialization
    2018

    Balanced line bundles on Fano varieties

    Lehmann, B., Tanimoto, S. & Tschinkel, Y., Oct 1 2018, In : Journal fur die Reine und Angewandte Mathematik. 2018, 743, p. 91-131 41 p.

    Research output: Contribution to journalArticle

    Fano Variety
    Geometric Invariants
    Minimal Model
    Line Bundle
    Threefolds

    Stable rationality of Brauer–Severi surface bundles

    Kresch, A. & Tschinkel, Y., Jan 1 2018, (Accepted/In press) In : Manuscripta Mathematica.

    Research output: Contribution to journalArticle

    Rational Surface
    Rationality
    Bundle
    Linear Systems

    Stable rationality of quadric surface bundles over surfaces

    Hassett, B., Pirutka, A. & Tschinkel, Y., Jan 1 2018, In : Acta Mathematica. 220, 2, p. 341-365 25 p.

    Research output: Contribution to journalArticle

    Quadric
    Rationality
    Bundle
    2016

    Height Zeta Functions of Equivariant Compactifications of Unipotent Groups

    Shalika, J. & Tschinkel, Y., Apr 1 2016, In : Communications on Pure and Applied Mathematics. 69, 4, p. 693-733 41 p.

    Research output: Contribution to journalArticle

    Compactification
    Riemann zeta function
    Equivariant
    2015

    Balanced Line Bundles and Equivariant Compactifications of Homogeneous Spaces

    Hassett, B., Tanimoto, S. & Tschinkel, Y., 2015, In : International Mathematics Research Notices. 2015, 15, p. 6375-6410 36 p.

    Research output: Contribution to journalArticle

    Geometric Invariants
    Line Bundle
    Homogeneous Space
    Compactification
    Equivariant

    Mori cones of holomorphic symplectic varieties of K3 type

    Bayer, A., Hassett, B. & Tschinkel, Y., Aug 1 2015, In : Annales Scientifiques de l'Ecole Normale Superieure. 48, 4, p. 941-950 10 p.

    Research output: Contribution to journalArticle

    Hilbert Scheme
    K3 Surfaces
    Cone

    Multiple mixing for adele groups and rational points

    Gorodnik, A., Takloo-Bighash, R. & Tschinkel, Y., Sep 1 2015, In : European Journal of Mathematics. 1, 3, p. 441-461 21 p.

    Research output: Contribution to journalArticle

    Rational Points
    Algebraic Groups
    Simple group
    Compactification
    Asymptotic Formula

    Stable rationality and conic bundles

    Hassett, B., Kresch, A. & Tschinkel, Y., Sep 16 2015, (Accepted/In press) In : Mathematische Annalen.

    Research output: Contribution to journalArticle

    Rational Surface
    Rationality
    Bundle
    2014

    Embedding pointed curves in K3 surfaces

    Hassett, B. & Tschinkel, Y., Nov 12 2014, In : Mathematische Zeitschrift. 278, 3-4, p. 927-953 27 p.

    Research output: Contribution to journalArticle

    K3 Surfaces
    Rational Curves
    Cross ratio
    Curve
    del operator

    Geometrie der zahlen - zum 150. geburtstag von Hermann Minkowski

    Tschinkel, Y., 2014, In : Mitteilungen der DMV. 22, 4, p. 228-233

    Research output: Contribution to journalArticle

    Quartic del Pezzo surfaces over function fields of curves

    Hassett, B. & Tschinkel, Y., 2014, In : Central European Journal of Mathematics. 12, 3, p. 395-420 26 p.

    Research output: Contribution to journalArticle

    Del Pezzo Surfaces
    Fibration
    Function Fields
    Quartic
    Curve

    Variation of Néron-Severi ranks of reductions of K3 surfaces

    Costa, E. & Tschinkel, Y., Oct 2 2014, In : Experimental Mathematics. 23, 4, p. 475-481 7 p.

    Research output: Contribution to journalArticle

    K3 Surfaces
    Modulo
    Quartic
    Statistics
    2013

    Effective computation of Picard groups and Brauer-Manin obstructions of degree two K 3 surfaces over number fields

    Hassett, B., Kresch, A. & Tschinkel, Y., Apr 2013, In : Rendiconti del Circolo Matematico di Palermo. 62, 1, p. 137-151 15 p.

    Research output: Contribution to journalArticle

    Brauer Group
    Picard Group
    K3 Surfaces
    Obstruction
    Number field

    Galois theory and projective geometry

    Bogomolov, F. & Tschinkel, Y., Sep 2013, In : Communications on Pure and Applied Mathematics. 66, 9, p. 1335-1359 25 p.

    Research output: Contribution to journalArticle

    Galois Theory
    Projective geometry
    Geometry

    Hodge theory and Lagrangian planes on generalized Kummer fourfolds

    Brendan, H. & Tschinkel, Y., Jan 2013, In : Moscow Mathematical Journal. 13, 1, p. 33-56 24 p.

    Research output: Contribution to journalArticle

    Hodge Theory
    Projective plane
    Submanifolds
    Homology
    Intersection

    Integral points of bounded height on compactifications of semi-simple groups

    Takloo-Bighash, R. & Tschinkel, Y., Oct 2013, In : American Journal of Mathematics. 135, 5, p. 1433-1448 16 p.

    Research output: Contribution to journalArticle

    Integral Points
    Semisimple Groups
    Compactification
    Asymptotic distribution
    Partial

    Preface

    Bogomolov, F., Hassett, B. & Tschinkel, Y., Jan 1 2013, In : Unknown Journal. p. 1-319 319 p.

    Research output: Contribution to journalArticle

    2012

    Characterizing projective spaces on deformations of Hilbert schemes of K3 surfaces

    Harvey, D., Hassett, B. & Tschinkel, Y., Feb 2012, In : Communications on Pure and Applied Mathematics. 65, 2, p. 264-286 23 p.

    Research output: Contribution to journalArticle

    Hilbert Scheme
    K3 Surfaces
    Projective Space
    Torsional stress
    Homology

    Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups

    Tschinkel, Y. & Tanimoto, S., 2012, In : Contemporary Mathematics. 566, p. 119-157

    Research output: Contribution to journalArticle

    Integral points of bounded height on partial equivariant compactifications of vector groups

    Chambert-Loir, A. & Tschinkel, Y., Dec 1 2012, In : Duke Mathematical Journal. 161, 15, p. 2799-2836 38 p.

    Research output: Contribution to journalArticle

    Integral Points
    Compactification
    Asymptotic Formula
    Equivariant
    Partial

    Spaces of sections of quadric surface fibrations over curves

    Tschinkel, Y. & Hassett, B., 2012, In : Contemporary Mathematics. 564, p. 227-249

    Research output: Contribution to journalArticle

    2011

    Constructing rational curves on K3 surfaces

    Bogomolov, F., Hassett, B. & Tschinkel, Y., Apr 15 2011, In : Duke Mathematical Journal. 157, 3, p. 535-550 16 p.

    Research output: Contribution to journalArticle

    K3 Surfaces
    Rational Curves
    Picard Group
    Galois field
    Modulo

    Editorial Material

    Katzarkov, L., Pantev, T., Tschinkel, Y. & Zarhin, Y., Oct 2011, In : Central European Journal of Mathematics. 9, 5, p. 935 1 p.

    Research output: Contribution to journalArticle

    Effectivity of Brauer-Manin obstructions on surfaces

    Kresch, A. & Tschinkel, Y., Mar 20 2011, In : Advances in Mathematics. 226, 5, p. 4131-4144 14 p.

    Research output: Contribution to journalArticle

    Obstruction
    Azumaya Algebra
    Hasse Principle
    Weak Approximation
    Brauer Group

    Reconstruction of higher-dimensional function fields

    Bogomolov, F. & Tschinkel, Y., 2011, In : Moscow Mathematical Journal. 11, 2, p. 185-204 20 p.

    Research output: Contribution to journalArticle

    Lower Central Series
    Galois group
    Function Fields
    Modulo
    Quotient
    2010

    A Torelli theorem for curves over finite fields

    Bogomolov, F., Korotiaev, M. & Tschinkel, Y., Jan 2010, In : Pure and Applied Mathematics Quarterly. 6, 1, p. 245-294 50 p.

    Research output: Contribution to journalArticle

    Galois field
    Curve
    Theorem
    Context

    Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces

    Hassett, B. & Tschinkel, Y., Jan 2010, In : Journal of the Institute of Mathematics of Jussieu. 9, 1, p. 125-153 29 p.

    Research output: Contribution to journalArticle

    Hypersurface
    Cone
    Automorphism
    Decompose
    Line

    Igusa integrals and volume asymptotics in analytic and adelic geometry

    Tschinkel, Y. & Chambert-Loir, A., 2010, In : Confluentes Mathematici. 2, 3, p. 351-429

    Research output: Contribution to journalArticle

    Intersection numbers of extremal rays on holomorphic symplectic varieties

    Hassett, B. & Tschinkel, Y., Sep 2010, In : Asian Journal of Mathematics. 14, 3, p. 303-322 20 p.

    Research output: Contribution to journalArticle

    Intersection number
    Half line
    2009

    Co-fibered products of algebraic curves

    Bogomolov, F. & Tschinkel, Y., 2009, In : Central European Journal of Mathematics. 7, 3, p. 382-386 5 p.

    Research output: Contribution to journalArticle

    Algebraic curve

    Moving and ample cones of holomorphic symplectic fourfolds

    Hassett, B. & Tschinkel, Y., Dec 2009, In : Geometric and Functional Analysis. 19, 4, p. 1065-1080 16 p.

    Research output: Contribution to journalArticle

    Hilbert Scheme
    K3 Surfaces
    Symplectic Manifold
    Minimal Model
    Divisor

    Weak approximation for hypersurfaces of low degree

    Tschinkel, Y. & Hassett, B., 2009, In : PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS. 80, 2, p. 937-955

    Research output: Contribution to journalArticle

    2008

    Approximation at places of bad reduction for rationally connected varieties

    Hassett, B. & Tschinkel, Y., 2008, In : Pure and Applied Mathematics Quarterly. 4, 3 PART 2, p. 743-766 24 p.

    Research output: Contribution to journalArticle

    Weak Approximation
    Cubic Surface
    Square free
    Function Fields
    Approximation

    Effectivity of Brauer-Manin obstructions

    Kresch, A. & Tschinkel, Y., May 1 2008, In : Advances in Mathematics. 218, 1, p. 1-27 27 p.

    Research output: Contribution to journalArticle

    Hasse Principle
    Weak Approximation
    Obstruction

    Log Fano varieties over function fields of curves

    Hassett, B. & Tschinkel, Y., Jul 2008, In : Inventiones Mathematicae. 173, 1, p. 7-21 15 p.

    Research output: Contribution to journalArticle

    Fano Variety
    Function Fields
    Curve
    Integral Points
    Normal Bundle

    On a theorem of Tate

    Bogomolov, F. & Tschinkel, Y., Sep 2008, In : Central European Journal of Mathematics. 6, 3, p. 343-350 8 p.

    Research output: Contribution to journalArticle

    Divisibility
    Abelian Variety
    Recurrence
    Galois field
    Theorem

    Potential density of rational points for K3 surfaces over function fields

    Hassett, B. & Tschinkel, Y., Oct 2008, In : American Journal of Mathematics. 130, 5, p. 1263-1278 16 p.

    Research output: Contribution to journalArticle

    K3 Surfaces
    Rational Points
    Complex Functions
    Function Fields

    Preface to Bogomolov special issue

    Beauville, A., Ji, L., Katzarkov, L., Liu, K., Tschinkel, Y. & Yau, S. T., 2008, In : Pure and Applied Mathematics Quarterly. 4, 2 PART 1

    Research output: Contribution to journalArticle

    Reconstruction of function fields

    Bogomolov, F. & Tschinkel, Y., Jul 2008, In : Geometric and Functional Analysis. 18, 2, p. 400-462 63 p.

    Research output: Contribution to journalArticle

    Function Fields
    Quotient
    Galois group
    Rational function
    Galois field

    Reply to Sabbagh

    Tschinkel, Y., Mar 2008, In : Notices of the American Mathematical Society. 55, 3, p. 342 1 p.

    Research output: Contribution to journalArticle

    Two examples of Brauer-Manin obstruction to integral points

    Kresch, A. & Tschinkel, Y., Dec 2008, In : Bulletin of the London Mathematical Society. 40, 6, p. 995-1001 7 p.

    Research output: Contribution to journalArticle

    Integral Points
    Projective plane
    Obstruction
    Subset
    2007

    About the cover: Invariants

    Tschinkel, Y., Jul 2007, In : Bulletin of the American Mathematical Society. 44, 3, p. 433-437 5 p.

    Research output: Contribution to journalArticle

    Cover
    Invariant

    Rational points on compactifications of semi-simple groups

    Shalika, J., Takloo-Bighash, R. & Tschinkel, Y., Oct 2007, In : Journal of the American Mathematical Society. 20, 4, p. 1135-1186 52 p.

    Research output: Contribution to journalArticle

    Automorphic Forms
    Semisimple Groups
    Rational Points
    Compactification

    The Felix Klein protocols

    Chislenko, E. & Tschinkel, Y., Sep 2007, In : Notices of the American Mathematical Society. 54, 8, p. 960-970 11 p.

    Research output: Contribution to journalArticle