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Yuri Tschinkel

Professor Of Mathematics

    1988 …2019
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    Research Output 1988 2019

    2002

    On curve correspondences

    Bogomolov, F. & Tschinkel, Y., 2002, In : Surikaisekikenkyusho kokyuroku. 1267, p. 157-166 Communications in arithmetic fundamental groups (Kyoto, 1999/2001).

    Research output: Contribution to journalArticle

    On the distribution of points of bounded height on equivariant compactifications of vector groups

    Chambert-Loir, A. & Tschinkel, Y., 2002, In : Inventiones Mathematicae. 148, 2, p. 421-452 32 p.

    Research output: Contribution to journalArticle

    Affine Space
    Rational Points
    Compactification
    Asymptotic Formula
    Equivariant

    On the effective cone of the moduli space of pointed rational curves

    Tschinkel, Y. & Hassett, B., 2002, Topology and geometry. Berrick, A. J., Leung, M. C. & Xu, X. W. (eds.). p. 83-96 (Contemporary Mathematics; vol. 314).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    Rationality of moduli of elliptic fibrations with fixed monodromy

    Bogomolov, F., Petrov, T. & Tschinkel, Y., 2002, In : Geometric and Functional Analysis. 12, 6, p. 1105-1160 56 p.

    Research output: Contribution to journalArticle

    Elliptic Fibration
    Elliptic Surfaces
    Monodromy
    Rationality
    Modulus

    Resolution of singularities: Review of a book by H. Hauser et al.

    Tschinkel, Y. & Bogomolov, F., 2002, In : Bulletin of the American Mathematical Society. 39, p. 95-100

    Research output: Contribution to journalBook/Film/Article review

    Unramified correspondences

    Bogomolov, F. & Tschinkel, Y., 2002, Algebraic number theory and algebraic geometry. Providence, RI: American Mathematical Society, p. 17-25 (Contemporary Mathematics; vol. 300).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    2001

    Density of integral points on algebraic varieties

    Tschinkel, Y. & Hassett, B., 2001, Rational points on algebraic varieties. Birkhauser, p. 169-197 (Progress in Mathematics; vol. 199).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    Distribution of rational points on equivariant compactifications of inner forms of reductive groups

    Tschinkel, Y., Shalika, J. & Takloo-Bighash, R., 2001, 50 p.

    Research output: Other contribution

    Fonctions zeta des hauteurs des espaces fibres

    Tschinkel, Y. & Chambert-Loir, A., 2001, Rational points on algebraic varieties. Birkhauser, p. 71-115 (Progress in Mathematics; vol. 199).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    Rational curves on holomorphic symplectic fourfolds

    Hassett, B. & Tschinkel, Y., 2001, In : Geometric and Functional Analysis. 11, 6, p. 1201-1228 28 p.

    Research output: Contribution to journalArticle

    Rational Curves

    Rational points on algebraic varieties

    Peyre, E. (ed.) & Tschinkel, Y. (ed.), 2001, Basel: Birkhäuser Verlag. 446 p. (Progress in mathematics; vol. v. 199)

    Research output: Book/ReportBook

    Rational Points
    Algebraic Variety
    Integral Points
    Algebraic Geometry
    Minimal Model

    Tamagawa numbers of diagonal cubic surfaces, numerical evidence

    Peyre, E. & Tschinkel, Y., Jan 2001, In : Mathematics of Computation. 70, 233, p. 367-387 21 p.

    Research output: Contribution to journalArticle

    Cubic Surface
    Fano Variety
    Evidence

    Tamagawa numbers of diagonal cubic surfaces of higher rank

    Tschinkel, Y. & Peyre, E., 2001, Rational points on algebraic varieties. Birkhauser, p. 275-305 (Progress in Mathematics; vol. 199).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    Torseurs arithmetiques et espaces fibres

    Tschinkel, Y. & Chambert-Loir, A., 2001, Rational points on algebraic varieties. Birkhauser, p. 37-70 (Progress in Mathematics; vol. 199).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    2000

    Abelian fibrations and rational points on symmetric products

    Hassett, B. & Tschinkel, Y., Dec 2000, In : International Journal of Mathematics. 11, 9, p. 1163-1176 14 p.

    Research output: Contribution to journalArticle

    Symmetric Product
    Rational Points
    Fibration
    K3 Surfaces
    Number field

    Density of rational points on elliptic K3 surfaces

    Bogomolov, F. & Tschinkel, Y., 2000, In : Asian Journal of Mathematics. 4, 2, p. 351-368

    Research output: Contribution to journalArticle

    Langrangian subvarieties of abelian four-folds

    Bogomolov, F. & Tschinkel, Y., 2000, In : Asian Journal of Mathematics. 4, 1, p. 19-36 Kodaira's issue.

    Research output: Contribution to journalArticle

    Points of Bounded Height on Equivariant Compactifications of Vector Groups, I

    Chambert-Loir, A. & Tschinkel, Y., 2000, In : Compositio Mathematica. 124, 1, p. 65-93 29 p.

    Research output: Contribution to journalArticle

    Affine plane
    Rational Points
    Compactification
    Asymptotic Formula
    Equivariant

    Points of Bounded Height on Equivariant Compactifications of Vector Groups, II

    Chambert-Loir, A. & Tschinkel, Y., Dec 2000, In : Journal of Number Theory. 85, 2, p. 172-188 17 p.

    Research output: Contribution to journalArticle

    Affine Space
    Rational Points
    Compactification
    Asymptotic Formula
    Equivariant

    Rational points on quartics

    Harris, J. & Tschinkel, Y., Sep 15 2000, In : Duke Mathematical Journal. 104, 3, p. 477-500 24 p.

    Research output: Contribution to journalArticle

    Rational Points
    Quartic
    1999

    Geometry of Equivariant Compactifications of (double-struck G)a n

    Hassett, B. & Tschinkel, Y., 1999, In : International Mathematics Research Notices. 1999, 22

    Research output: Contribution to journalArticle

    Compactification
    Equivariant

    Height zeta functions of toric bundles over flag varieties

    Strauch, M. & Tschinkel, Y., 1999, In : Selecta Mathematica, New Series. 5, 3, p. 325-396 72 p.

    Research output: Contribution to journalArticle

    Flag Variety
    Riemann zeta function
    bundles
    Bundle

    On the density of rational points on elliptic fibrations

    Bogomolov, F. & Tschinkel, Y., 1999, In : Journal fur die Reine und Angewandte Mathematik. 511, p. 87-93 7 p.

    Research output: Contribution to journalArticle

    Elliptic Fibration
    Rational Points
    1998

    Density of rational points on Enriques surfaces

    Bogomolov, F. & Tschinkel, Y., 1998, In : Mathematical Research Letters. 5, 5, p. 623-628 6 p.

    Research output: Contribution to journalArticle

    Manin's conjecture for toric varieties

    Batyrev, V. V. & Tschinkel, Y., Jan 1998, In : Journal of Algebraic Geometry. 7, 1, p. 15-53 39 p.

    Research output: Contribution to journalArticle

    Toric Varieties
    Rational Points
    Line Bundle
    Asymptotic Formula
    Number field

    Tamagawa numbers of polarized algebraic varieties

    Batyrev, V. V. & Tschinkel, Y., 1998, In : Asterisque. 251, p. 299-340 42 p.

    Research output: Contribution to journalArticle

    Algebraic Variety
    Fano Variety
    Rational Points
    Minimal Model
    Fibration
    1997

    Height zeta functions

    Tschinkel, Y., 1997, Proceedings Arbeitstagung Bonn.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Height zeta functions of twisted products

    Strauch, M. & Tschinkel, Y., 1997, In : Mathematical Research Letters. 4, 2-3, p. 273-282 10 p.

    Research output: Contribution to journalArticle

    Flag Variety
    Riemann zeta function
    Bundle
    1996

    Height zeta functions of toric varieties

    Batyrev, V. & Tschinkel, Y., 1996, In : Journal of Mathematical Sciences. 82, 1, p. 3220-3239 20 p.

    Research output: Contribution to journalArticle

    Toric Varieties
    Riemann zeta function

    Rational points on some Fano cubic bundles

    Tschinkel, Y. & Batyrev, V. V., 1996, In : Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 323, p. 41-46

    Research output: Contribution to journalArticle

    1995

    Rational points of bounded height on compactifications of anisotropic tori

    Batyrev, V. V. & Tschinkel, Y., 1995, In : International Mathematics Research Notices. 1995, 12, p. 591-635 45 p.

    Research output: Contribution to journalArticle

    Rational Points
    Compactification
    Torus

    Rational points on toric varieties

    Tschinkel, Y. & Batyrev, V. V., 1995, Number theory (Halifax, NS, 1994). Providence, RI: AMS, p. 39-48 (CMS Conference Proceedings; vol. 15).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    1993

    Finite heights and rational points on surfaces

    Tschinkel, Y., 1993, Advances in number theory (Kingston, ON, 1991). New York: Oxford University Press, p. 319-329 (Oxford Science Publications).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    On rational points

    Tschinkel, Y., 1993, Proceedings of the "International Conference on Algebraic Geometry", Sendai. p. 157-172

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Points of bounded height on Del Pezzo surfaces

    Manin, Y. & Tschinkel, Y., Feb 1993, In : Compositio Mathematica. 85, 3, p. 315-332

    Research output: Contribution to journalArticle

    1992

    Ph.D. thesis: Arithmetic of algebraic surfaces

    Tschinkel, Y., 1992, MIT.

    Research output: Book/ReportOther report

    1990

    Rational points of bounded height on Fano varieties

    Franke, J., Manin, Y. I. & Tschinkel, Y., Dec 1990, In : Inventiones Mathematicae. 102, 1, p. 463 1 p.

    Research output: Contribution to journalArticle

    Fano Variety
    Rational Points
    1989

    Generalised Chatelet varieties (Russian)

    Tschinkel, Y., 1989, Proceedings of the Conference "Constructive Methods and Algorithms in Number Theory", Academy of Science BSSR, Minsk, USSR. p. 163

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Rational points of bounded height on Fano varieties

    Franke, J., Manin, Y. I. & Tschinkel, Y., Jun 1989, In : Inventiones Mathematicae. 95, 2, p. 421-435 15 p.

    Research output: Contribution to journalArticle

    Fano Variety
    Rational Points
    1988

    Rational points and heights (Russian)

    Tschinkel, Y., 1988, Proceedings of the XXVIth All-Union Scientific Student Conference, Novosibirsk, 1988. Novosibirsk Gos. Univ., p. 80-84

    Research output: Chapter in Book/Report/Conference proceedingConference contribution