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Yuri Tschinkel

Professor Of Mathematics

1988 …2019
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Research Output 1988 2019

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Chapter (peer-reviewed)
2013

On the moduli space of degree 4 Del Pezzo surfaces

Tschinkel, Y., Hassett, B. & Kresch, A., 2013, (Accepted/In press) Mukai Festschrift: Advanced Studies in Pure Mathematics. 37 p. In press

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

2012

Introduction to birational anabelian geometry

Bogomolov, F. & Tschinkel, Y., 2012, Current developments in algebraic geometry. Cambridge: Cambridge University Press, p. 17-63 (Publications of the Research Institute for Mathematical Sciences; vol. 59).

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

2009

Milnor K2 and field homomorphisms

Bogomolov, F. & Tschinkel, Y., 2009, Surveys in differential geometry. Vol. XIII. Geometry, analysis, and algebraic geometry: Forty years of the Journal of Differential Geometry. Somerville, MA: International Press, p. 223-244 (Surveys in Differential Geometry; vol. 13).

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

2007

Algebraic varieties over small fields

Bogomolov, F. & Tschinkel, Y., 2007, Diophantine geometry. Pisa, Italy: Scuola Normale Superiore di Pisa, p. 73-91 (CRM Series; vol. 4).

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

Universal torsors over Del Pezzo surfaces and rational points

Tschinkel, Y. & Derenthal, U., 2007, Equidistribution in number theory: An introduction. Granville, A. & Rudnick, Z. (eds.). Springer, p. 169-196 (NATO Science Series II).

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

2004

Height zeta functions of equivariant compactifications of the Heisenberg group

Tschinkel, Y. & Shalika, J., 2004, Contributions to automorphic forms, geometry, and number theory. Hida, H., Ramakrishnan, D. & Shahidi, F. (eds.). Johns Hopkins University Press, p. 743-771

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

Rational points and automorphic forms

Tschinkel, Y., Shalika, J. & Takloo-Bighash, R., 2004, Contributions to automorphic forms, geometry, and number theory. Hida, H., Ramakrishnan, D. & Shahidi, F. (eds.). Johns Hopkins University Press, p. 733-742

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

2003

Fujita's program and rational points

Tschinkel, Y., 2003, Higher dimensional varieties and rational points. Boroczky, K. J., Kollar, J. & Szamuely, T. (eds.). Springer Verlag, p. 283-310 (Bolyai Society Mathematical Studies; vol. 12).

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

Monodromy of elliptic surfaces

Bogomolov, F. & Tschinkel, Y., 2003, Galois groups and fundamental groups. Cambridge: Cambridge University Press, p. 167-181 (Publications of the Research Institute for Mathematical Sciences; vol. 41).

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

Rational points on compactifications of semi-simple groups of rank 1

Tschinkel, Y., Shalika, J. & Takloo-Bighash, R., 2003, Arithmetic of higher-dimensional algebraic varieties. Birkhauser, p. 205-233 (Progress in Mathematics; vol. 226).

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

Universal torsors and Cox rings

Tschinkel, Y. & Hassett, B., 2003, Arithmetic of higher-dimensional algebraic varieties. Birkhauser, p. 149-173 (Progress in Mathematics; vol. 226).

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

2002

Commuting elements of Galois groups of function fields

Bogomolov, F. & Tschinkel, Y., 2002, Motives, polylogarithms and Hodge theory, part I (Irvine, CA 1998). Somerville, MA: International Press, p. 75-120 (International Press Lecture Series; vol. 3).

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

Lectures on height zeta functions of toric varieties

Tschinkel, Y., 2002, Geometry of toric varieties. p. 227-247 (Seminaires et Congres; vol. 6).

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

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)

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)

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)

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)

1995

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)