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Fedor Bogomolov

Silver Professor; Professor of Mathematics

    1969 …2020

    Research output per year

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    Research Output

    2020

    Algebraically hyperbolic manifolds have finite automorphism groups

    Bogomolov, F. A., Kamenova, L. & Verbitsky, M., Mar 1 2020, In : Communications in Contemporary Mathematics. 22, 2, 1950003.

    Research output: Contribution to journalArticle

    2019
    Open Access

    Easter Island volume

    Bogomolov, F., Cheltsov, I., Dubouloz, A. & Liendo, A., Sep 15 2019, In : European Journal of Mathematics. 5, 3, p. 611-621 11 p.

    Research output: Contribution to journalEditorial

    Open Access

    Homomorphisms of multiplicative groups of fields preserving algebraic dependence

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

    Research output: Contribution to journalArticle

    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

    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

    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

    Dominant classes of projective varieties

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

    Research output: Contribution to journalArticle

    Edge volume, part I

    Bogomolov, F. & Cheltsov, I., Mar 1 2018, In : European Journal of Mathematics. 4, 1

    Research output: Contribution to journalEditorial

    Edge volume, part II

    Cheltsov, I. & Bogomolov, F., Sep 1 2018, In : European Journal of Mathematics. 4, 3, p. 699-707 9 p.

    Research output: Contribution to journalEditorial

    Elliptic curves with large intersection of projective torsion points

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

    Research output: Contribution to journalArticle

    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 proceedingChapter

    2017

    On contraction of algebraic points

    Bogomolov, F. & Qian, J., Jan 1 2017, In : Bulletin of the Korean Mathematical Society. 54, 5, p. 1577-1596 20 p.

    Research output: Contribution to journalArticle

    Universal spaces for unramified galois cohomology

    Bogomolov, F. & Tschinkel, Y., Jan 1 2017, Progress in Mathematics. Springer Basel, p. 57-86 30 p. (Progress in Mathematics; vol. 320).

    Research output: Chapter in Book/Report/Conference proceedingChapter

    2016

    Birationally isotrivial fiber spaces

    Bogomolov, F. A., 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

    Division polynomials and intersection of projective torsion points

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

    Research output: Contribution to journalArticle

    Families of disjoint divisors on varieties

    Bogomolov, F. A., 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

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

    Research output: Contribution to journalEditorial

    The ambiguity index of an equipped finite group

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

    Research output: Contribution to journalArticle

    2014

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

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

    Research output: Contribution to journalArticle

    On uniformly rational varieties

    Bogomolov, F. & Böhning, C., 2014, Topology, geometry, integrable systems, and mathematical physics. Providence, RI: American Mathematical Society, p. 33-48 (American Mathematical Society Translations: Series 2; vol. 234).

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

    Stable cohomology of alternating groups

    Bogomolov, F. & Böhning, C., Jan 1 2014, In : Central European Journal of Mathematics. 12, 2, p. 212-228 17 p.

    Research output: Contribution to journalArticle

    Universal spaces for unramified Galois cohomology

    Tschinkel, Y. & Bogomolov, F., 2014, 31 p.

    Research output: Other contribution

    2013

    Birational geometry, rational curves, and arithmetic

    Bogomolov, F., Hassett, B. & Tschinkel, Y., Jan 1 2013, Springer New York. 319 p.

    Research output: Book/ReportBook

    Closed symmetric 2-differentials of the 1st kind

    Bogomolov, F. & De Oliveira, B., Jan 1 2013, In : Pure and Applied Mathematics Quarterly. 9, 4, p. 613-642 30 p.

    Research output: Contribution to journalArticle

    Collineation group as a subgroup of the symmetric group

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

    Research output: Contribution to journalArticle

    Galois theory and projective geometry

    Bogomolov, F. & Tschinkel, Y., Sep 1 2013, In : Communications on Pure and Applied Mathematics. 66, 9, p. 1335-1359 25 p.

    Research output: Contribution to journalArticle

    Isoclinism and stable cohomology of wreath products

    Bogomolov, F. & Böhning, C., Jan 1 2013, Birational Geometry, Rational Curves, and Arithmetic. Springer New York, p. 57-76 20 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

    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 1 2013, In : Central European Journal of Mathematics. 11, 12, p. 2099-2105 7 p.

    Research output: Contribution to journalArticle

    On the irreducibility of Hilbert scheme of surfaces of minimal degree

    Bogomolov, F. & Kulikov, V. S., Feb 1 2013, In : Central European Journal of Mathematics. 11, 2, p. 254-263 10 p.

    Research output: Contribution to journalArticle

    Preface

    Bogomolov, F., Hassett, B. & Tschinkel, Y., Jan 1 2013, Birational Geometry, Rational Curves, and Arithmetic. Springer New York, p. 1-319 319 p.

    Research output: Chapter in Book/Report/Conference proceedingForeword/postscript

    Preface

    Bogomolov, F., Kazhdan, D., Kontsevich, M., Lian, B., Liu, K., Manin, Y. & Yau, S. T., Jan 1 2013, In : Pure and Applied Mathematics Quarterly. 9, 4

    Research output: Contribution to journalEditorial

    Unirationality and existence of infinitely transitive models

    Bogomolov, F., Karzhemanov, I. & Kuyumzhiyan, K., Jan 1 2013, Birational Geometry, Rational Curves, and Arithmetic. Springer New York, p. 77-91 15 p.

    Research output: Chapter in Book/Report/Conference proceedingChapter

    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

    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)

    Linear bounds for levels of stable rationality

    Bogomolov, F., Böhning, C. & von Bothmer, H. C. G., Apr 1 2012, In : Central European Journal of Mathematics. 10, 2, p. 466-520 55 p.

    Research output: Contribution to journalArticle

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

    Bogomolov, F. & Kulikov, V. S., Apr 1 2012, In : Central European Journal of Mathematics. 10, 2, p. 521-529 9 p.

    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

    Rationality of quotients by linear actions of affine groups

    Bogomolov, F., Böhning, C. & Graf von Bothmer, H. C., Aug 1 2011, In : Science China Mathematics. 54, 8, p. 1521-1532 12 p.

    Research output: Contribution to journalArticle

    Reconstruction of higher-dimensional function fields

    Bogomolov, F. & Tschinkel, Y., Aug 5 2011, In : Moscow Mathematical Journal. 11, 2, p. 185-204 20 p.

    Research output: Contribution to journalArticle

    Remarks on endomorphisms and rational points

    Amerik, E., Bogomolov, F. & Rovinsky, M., Nov 1 2011, In : Compositio Mathematica. 147, 6, p. 1819-1842 24 p.

    Research output: Contribution to journalArticle

    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 1 2011, In : Central European Journal of Mathematics. 9, 5, p. 936-948 13 p.

    Research output: Contribution to journalArticle

    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

    Open Access

    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/ReportBook

    The theory of invariants and its applications to some problems in the algebraic geometry

    Bogomolov, F., 2010, Algebraic surfaces. Heidelberg: Springer , p. 217-245 (C.I.M.E. Summer School; vol. 76).

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

    Unramified cohomology of finite groups of Lie type

    Bogomolov, F., Petrov, T. & Tschinkel, Y., Jan 1 2010, Progress in Mathematics. Springer Basel, p. 55-73 19 p. (Progress in Mathematics; vol. 282).

    Research output: Chapter in Book/Report/Conference proceedingChapter

    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