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Fedor Bogomolov

Silver Professor; Professor of Mathematics

    1969 …2019
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    Research Output 1969 2019

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    2019

    Algebraically hyperbolic manifolds have finite automorphism groups

    Bogomolov, F., Kamenova, L. & Verbitsky, M., Jan 1 2019, In : Communications in Contemporary Mathematics.

    Research output: Contribution to journalArticle

    Hyperbolic Manifold
    Hyperbolicity
    Automorphism Group
    Finite Group
    Genus

    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

    On the PGL 2 -invariant quadruples of torsion points of elliptic curves

    Bogomolov, F. A. & Fu, H., Jan 1 2019, (Accepted/In press) In : European Journal of Mathematics.

    Research output: Contribution to journalArticle

    Torsion Points
    Quadruple
    Pi
    Elliptic Curves
    Cross ratio

    Purely noncommuting groups

    Blum-Smith, B. & Bogomolov, F. A., Dec 1 2019, In : European Journal of Mathematics. 5, 4, p. 1173-1191 19 p.

    Research output: Contribution to journalArticle

    Supersolvable Group
    Metabelian group
    Commutator subgroup
    Finite Simple Group
    Projective Variety
    2018

    Abelian calabi-yau threefolds: Néron models and rational points

    Bogomolov, F., Halle, L. H., Pazuki, F. & Tanimoto, S., Jan 1 2018, In : Mathematical Research Letters. 25, 2, p. 367-392 26 p.

    Research output: Contribution to journalArticle

    Abelian Surfaces
    Calabi-Yau Threefolds
    Rational Points
    Model

    Dominant classes of projective varieties

    Buonerba, F. & Bogomolov, F., Dec 1 2018, In : European Journal of Mathematics. 4, 4, p. 1412-1420 9 p.

    Research output: Contribution to journalArticle

    Uniformization
    Algebraic Variety
    Projective Variety
    Fibration
    One Dimension

    Elliptic curves with large intersection of projective torsion points

    Bogomolov, F. & Fu, H., Jun 1 2018, In : European Journal of Mathematics. 4, 2, p. 555-560 6 p.

    Research output: Contribution to journalArticle

    Torsion Points
    Number field
    Elliptic Curves
    Intersection
    2017

    On contraction of algebraic points

    Bogomolov, F. & Qian, J., 2017, In : Bulletin of the Korean Mathematical Society. 54, 5, p. 1577-1596 20 p.

    Research output: Contribution to journalArticle

    Correspondence Problem
    Ramification
    Contraction
    Curve
    2016

    Birationally isotrivial fiber spaces

    Bogomolov, F., Böhning, C. & Graf von Bothmer, H. C., Mar 1 2016, In : European Journal of Mathematics. 2, 1, p. 45-54 10 p.

    Research output: Contribution to journalArticle

    Fiber
    Family

    Division polynomials and intersection of projective torsion points

    Bogomolov, F. & Fu, H., Sep 1 2016, In : European Journal of Mathematics. 2, 3, p. 644-660 17 p.

    Research output: Contribution to journalArticle

    Torsion Points
    Intersect
    Elliptic Curves
    Division
    Intersection

    Families of disjoint divisors on varieties

    Bogomolov, F., Pirutka, A. & Silberstein, A. M., Dec 1 2016, In : European Journal of Mathematics. 2, 4, p. 917-928 12 p.

    Research output: Contribution to journalArticle

    Divisor
    Pairwise
    Disjoint
    Morphism
    Algebraically closed

    Spitsbergen volume

    Bogomolov, F., Cheltsov, I., Mangolte, F., Shramov, C. & Testa, D., Mar 1 2016, In : European Journal of Mathematics. 2, 1, p. 1-8 8 p.

    Research output: Contribution to journalArticle

    2015

    Editorial

    Bogomolov, F., Mar 1 2015, In : European Journal of Mathematics. 1, 1, p. 1 1 p.

    Research output: Contribution to journalArticle

    The ambiguity index of an equipped finite group

    Bogomolov, F. & Kulikov, V. S., Jun 1 2015, In : European Journal of Mathematics. 1, 2, p. 260-278 19 p.

    Research output: Contribution to journalArticle

    Finite Group
    Hurwitz Space
    Branch Point
    Alternating group
    Geometric Approach
    2014

    A constructive proof of Brauer's theorem on induced characters in the group Ring[G]

    Bogomolov, F. & Greenleaf, F. P., 2014, In : Proceedings of the Edinburgh Mathematical Society. 57, 1, p. 31-53 23 p.

    Research output: Contribution to journalArticle

    Group Ring
    Theorem
    Irreducible Representation
    Symmetric group
    Finite Group

    Stable cohomology of alternating groups

    Bogomolov, F. & Böhning, C., 2014, In : Central European Journal of Mathematics. 12, 2, p. 212-228 17 p.

    Research output: Contribution to journalArticle

    Alternating group
    Cohomology Group
    Cohomology
    Odd
    Integer
    2013

    Closed symmetric 2-differentials of the 1st kind

    Bogomolov, F. & De Oliveira, B., 2013, In : Pure and Applied Mathematics Quarterly. 9, 4, p. 613-642 30 p.

    Research output: Contribution to journalArticle

    Closed
    Abelian Variety
    Meromorphic
    Fibration
    Riemannian Metric

    Collineation group as a subgroup of the symmetric group

    Bogomolov, F. & Rovinsky, M., Oct 2013, In : Central European Journal of Mathematics. 11, 1, p. 17-26 10 p.

    Research output: Contribution to journalArticle

    Collineation
    Symmetric group
    Dimension of a vector space
    Subgroup
    Pointwise Convergence

    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

    Obituary: Vasyl Ivanovych Andriychuk (18.09.1948-7.07.2012)

    Banakh, T. O., Bogomolov, F. A., Gatalevych, A. I., Guran, I. J., Ishchuk, Y. B., Komarnytskyi, M. Y., Kuz, I. S., Melnyk, I. O., Petrychkovych, V. M., Prytula, Y. G., Romaniv, O. M., Skaskiv, O. B., Stakhiv, L. L., Sullym, G. T., Zabavskyi, B. V., Zelisko, V. P. & Zarichnyi, M. M., Sep 2013, In : Central European Journal of Mathematics. 11, 9, p. 1547-1551 5 p.

    Research output: Contribution to journalArticle

    On stable conjugacy of finite subgroups of the plane Cremona group, I

    Bogomolov, F. & Prokhorov, Y., Dec 2013, In : Central European Journal of Mathematics. 11, 12, p. 2099-2105 7 p.

    Research output: Contribution to journalArticle

    Conjugacy
    Subgroup
    Cyclic group
    Invariant

    On the irreducibility of Hilbert scheme of surfaces of minimal degree

    Bogomolov, F. & Kulikov, V. S., Feb 2013, In : Central European Journal of Mathematics. 11, 2, p. 254-263 10 p.

    Research output: Contribution to journalArticle

    Hilbert Scheme
    Irreducibility
    Irreducible Components
    Rational Curves
    Projective plane

    Preface

    Bogomolov, F., Kazhdan, D., Kontsevich, M., Lian, B., Liu, K., Manin, Y. & Yau, S. T., 2013, In : Pure and Applied Mathematics Quarterly. 9, 4

    Research output: Contribution to journalArticle

    Preface

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

    Research output: Contribution to journalArticle

    Viktor Stepanovich Kulikov (on the occasion of his sixtieth birthday)

    Bogomolov, F., Kataneze, F., Manin, Y. & al., 2013, In : Uspekhi Matematicheskikh Nauk. 68, 2(410), p. 205-207

    Research output: Contribution to journalArticle

    2012

    Linear bounds for levels of stable rationality

    Bogomolov, F., Böhning, C. & von Bothmer, H. C. G., Apr 2012, In : Central European Journal of Mathematics. 10, 2, p. 466-520 55 p.

    Research output: Contribution to journalArticle

    Rationality
    Classical Groups
    Quotient

    On the diffeomorphic type of the complement to a line arrangement in a projective plane

    Bogomolov, F. & Kulikov, V. S., Apr 2012, In : Central European Journal of Mathematics. 10, 2, p. 521-529 9 p.

    Research output: Contribution to journalArticle

    Projective plane
    Arrangement
    Complement
    Line
    Intersection of lines
    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

    Rationality of quotients by linear actions of affine groups

    Bogomolov, F., Böhning, C. & Graf von Bothmer, H. C., Aug 2011, In : Science China Mathematics. 54, 8, p. 1521-1532 12 p.

    Research output: Contribution to journalArticle

    Affine Group
    Rationality
    Quotient
    Representation Theory
    Theorem

    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

    Remarks on endomorphisms and rational points

    Amerik, E., Bogomolov, F. & Rovinsky, M., Nov 2011, In : Compositio Mathematica. 147, 6, p. 1819-1842 24 p.

    Research output: Contribution to journalArticle

    Rational Points
    Endomorphisms
    Algebraic Variety
    Number field
    Fixed point

    Symmetric differentials of rank 1 and holomorphic maps

    Bogomolov, F. & de Oliveira, B., 2011, In : Pure and Applied Mathematics Quarterly. 7, 4, p. 1085-1103 Special issue: In memory of Eckart Viehweg.

    Research output: Contribution to journalArticle

    Unramified cohomology of alternating groups

    Bogomolov, F. & Petrov, T., Oct 2011, In : Central European Journal of Mathematics. 9, 5, p. 936-948 13 p.

    Research output: Contribution to journalArticle

    Alternating group
    Cohomology
    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

    Vyacheslav Vladimirovich Shokurov (on the occasion of his sixtieth birthday)

    Bogomolov, F., Zarkhin, Y., Kulikov, V. S. & al., 2010, In : Uspekhi Matematicheskikh Nauk. 65, 6(396), p. 195-199

    Research output: Contribution to journalArticle

    2009

    A version of Brauer's theorem for integer central functions

    Bogomolov, F. & Maciel, J., 2009, In : Central European Journal of Mathematics. 7, 1, p. 61-65 5 p.

    Research output: Contribution to journalArticle

    Finite Group
    Integer
    Theorem
    Class

    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

    Ordinary reduction of K3 surfaces

    Bogomolov, F. & Zarhin, Y. G., 2009, In : Central European Journal of Mathematics. 7, 2, p. 206-213 8 p.

    Research output: Contribution to journalArticle

    K3 Surfaces
    Zero set
    Field extension
    Number field

    Vasilii Alekseevich Iskovskikh

    Bogomolov, F., Kulikov, V. S., Manin, Y. & al., 2009, In : Uspekhi Matematicheskikh Nauk. 64, 5(389), p. 167-174

    Research output: Contribution to journalArticle

    2008

    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

    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

    Symmetric tensors and geometry of ℙN subvarieties

    Bogomolov, F. & De Oliveira, B., Sep 2008, In : Geometric and Functional Analysis. 18, 3, p. 637-656 20 p.

    Research output: Contribution to journalArticle

    Tensor
    Geometric Approach
    Projective Variety
    Quadric
    Tangent line
    2006

    Hyperbolicity of nodal hypersurfaces

    Bogomolov, F. & De Oliveira, B., Jul 1 2006, In : Journal fur die Reine und Angewandte Mathematik. 596, p. 89-101 13 p.

    Research output: Contribution to journalArticle

    Hyperbolicity
    Hypersurface
    Rational Curves
    Foliation
    Elliptic Curves

    Singularities on complete algebraic varieties

    Bogomolov, F., Cascini, P. & Oliveira, B., Jun 2006, In : Central European Journal of Mathematics. 4, 2, p. 194-208 15 p.

    Research output: Contribution to journalArticle

    Algebraic Variety
    Projective Variety
    n-dimensional
    Finite Set
    Singularity

    Vanishing theorems of negative vector bundles on projective varieties and the convexity of coverings

    Bogomolov, F. & De Oliveira, B., Apr 2006, In : Journal of Algebraic Geometry. 15, 2, p. 207-222 16 p.

    Research output: Contribution to journalArticle

    Vanishing Theorems
    Projective Variety
    Vector Bundle
    Convexity
    Covering
    2005

    Curves in abelian varieties over finite fields

    Bogomolov, F. & Tschinkel, Y., Jan 31 2005, In : International Mathematics Research Notices. 4, p. 233-238 6 p.

    Research output: Contribution to journalArticle

    Abelian Variety
    Galois field
    Curve

    Holomorphic functions and vector bundles on coverings of projective varieties

    Bogomolov, F. & De Oliveira, B., Jan 1 2005, In : Asian Journal of Mathematics. 9, 3, p. 295-314 20 p.

    Research output: Contribution to journalArticle

    Pullback
    Projective Variety
    Vector Bundle
    Analytic function
    Covering
    K3 Surfaces
    Rational Curves
    Rational Points
    2004

    Unramified brauer groups of finite simple groups of lie type A ℓ

    Bogomolov, F., Maciel, J. & Petrov, T., Aug 2004, In : American Journal of Mathematics. 126, 4, p. 935-949 15 p.

    Research output: Contribution to journalArticle

    Groups of Lie Type
    Brauer Group
    Finite Simple Group
    Trivial
    Subgroup
    2003

    Andrei Nikolaevich Tyurin

    Bogomolov, F., Gorodentsev, AL., Iskovskikh, VA. & al., 2003, In : Uspekhi Matematicheskikh Nauk. 58, 3(351), p. 176-182

    Research output: Contribution to journalArticle