Research Output per year
Research Output 1988 2019
- 1 - 50 out of 140 results
- Publication Year, Title (descending)
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 journal › Article
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 journal › Article
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 journal › Article
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 journal › Article
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 journal › Article
del operator
Fibration
Threefolds
Rationality
Specialization of birational types
Kontsevich, M. & Tschinkel, Y., Jan 1 2019, In : Inventiones Mathematicae.Research output: Contribution to journal › Article
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 journal › Article
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 journal › Article
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 journal › Article
Quadric
Rationality
Bundle
Torsion of elliptic curves and unlikely intersections
Bogomolov, F., Fu, H. & Tschinkel, Y., Jan 1 2018, Geometry and Physics: A Festschrift in Honour of Nigel Hitchin. Oxford University Press, Vol. 1. p. 19-38 20 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter
Torsion Points
Elliptic Curves
Torsion
Intersection
Line
2017
Rational points on K3 surfaces and derived equivalence
Hassett, B. & Tschinkel, Y., 2017, Progress in Mathematics. Springer Basel, Vol. 320. p. 87-113 27 p. (Progress in Mathematics; vol. 320).Research output: Chapter in Book/Report/Conference proceeding › Chapter
Derived Equivalence
K3 Surfaces
Rational Points
Universal spaces for unramified galois cohomology
Bogomolov, F. & Tschinkel, Y., 2017, Progress in Mathematics. Springer Basel, Vol. 320. p. 57-86 30 p. (Progress in Mathematics; vol. 320).Research output: Chapter in Book/Report/Conference proceeding › Chapter
Galois Cohomology
Universal Space
Algebraic Variety
Galois field
Closure
2016
Extremal rays and automorphisms of holomorphic symplectic varieties
Hassett, B. & Tschinkel, Y., 2016, In : Progress in Mathematics. 315, p. 73-95 23 p.Research output: Contribution to journal › Comment/debate
Half line
Automorphisms
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 journal › Article
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 journal › Article
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 journal › Article
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 journal › Article
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 journal › Article
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 journal › Article
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. 228-233Research output: Contribution to journal › Article
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 journal › Article
Del Pezzo Surfaces
Fibration
Function Fields
Quartic
Curve
Rational points on K3 surfaces and derived equivalence
Tschinkel, Y. & Hassett, B., 2014, 30 p.Research output: Other contribution
Universal spaces for unramified Galois cohomology
Tschinkel, Y. & Bogomolov, F., 2014, 31 p.Research output: Other contribution
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 journal › Article
K3 Surfaces
Modulo
Quartic
Statistics
2013
Birational geometry, rational curves, and arithmetic
Bogomolov, F., Hassett, B. & Tschinkel, Y., Jan 1 2013, Springer New York. 319 p.Research output: Book/Report › Book
Rational Curves
Algebraic Variety
Integral Points
Rational Solutions
Integral Solution
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 journal › Article
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 journal › Article
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 journal › Article
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 journal › Article
Integral Points
Semisimple Groups
Compactification
Asymptotic distribution
Partial
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 pressResearch output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed)
Preface
Bogomolov, F., Hassett, B. & Tschinkel, Y., Jan 1 2013, In : Unknown Journal. p. 1-319 319 p.Research output: Contribution to journal › Article
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 journal › Article
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. 119-157Research output: Contribution to journal › Article
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 journal › Article
Integral Points
Compactification
Asymptotic Formula
Equivariant
Partial
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 proceeding › Chapter (peer-reviewed)
Spaces of sections of quadric surface fibrations over curves
Tschinkel, Y. & Hassett, B., 2012, In : Contemporary Mathematics. 564, p. 227-249Research output: Contribution to journal › Article
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 journal › Article
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 journal › Article
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 journal › Article
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 journal › Article
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 journal › Article
Galois field
Curve
Theorem
Context
Cohomological and geometric approaches to rationality problems: New perspectives
Bogomolov, F. (ed.) & Tschinkel, Y. (ed.), 2010, Boston: Birkhäuser Verlag. 311 p. (Progress in mathematics; vol. v. 282)Research output: Book/Report › Book
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 journal › Article
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. 351-429Research output: Contribution to journal › Article
Integral points of bounded height on toric varieties
Tschinkel, Y. & Chambert-Loir, A., 2010, 28 p.Research output: Other contribution
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 journal › Article
Intersection number
Half line
Unramified cohomology of finite groups of Lie type
Bogomolov, F., Petrov, T. & Tschinkel, Y., 2010, Progress in Mathematics. Springer Basel, Vol. 282. p. 55-73 19 p. (Progress in Mathematics; vol. 282).Research output: Chapter in Book/Report/Conference proceeding › Chapter
Finite Groups of Lie Type
Cohomology
2009
Algebra, arithmetic, and geometry: In honor of Y.I. Manin
Tschinkel, Y. (ed.), Zarhin, Y. (ed.) & Manin, IU. I. (ed.), 2009, Boston, [Mass.]: Birkhäuser Verlag. (Progress in mathematics; vol. 269, 270)Research output: Book/Report › Book
Arithmetic geometry
Tschinkel, Y. (ed.), Darmora, S. (ed.) & Hassett, B. (ed.), 2009, Proceedings of the Clay Summer School Gotteingen 2006. AMS, (CMI Proceedings series).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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 journal › Article
Algebraic curve