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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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Chapter (peer-reviewed)
2014

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)

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)

2010

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)

2009

Algebraic varieties over small fields

Bogomolov, F., 2009, Colloquium de Giorgi 2007 and 2008. Pisa, Italy: Scuola Normale Superiore di Pisa, p. 85-90 (Colloquia; vol. 2).

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

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)

Stable cohomology of finite and profinite groups

Bogomolov, F., 2007, Algebraic groups. Göttingen: Universitätsverlag Göttingen, p. 19-49

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

2003

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)

2002

Algebraic curves and one-dimensional fields

Bogomolov, F. & Petrov, T., 2002, Courant lecture notes in mathematics. New York University, Courant Institute of Mathematical Sciences. Providence, RI: American Mathematical Society, Vol. 8.

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

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)

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)

1999

Infinite groups in projective and symplectic geometry

Bogomolov, F. & Katzarkov, L., 1999, Groups St. Andrews 1997 in Bath, I. Cambridge: Cambridge University Press, p. 85-123 (London Math Society Lecture Note Series; vol. 260).

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

1997

Stein small deformations of strictly pseudoconvex surfaces

Bogomolov, F. & de Oliveira, B., 1997, Birational algebraic geometry: Proceedings from the JAMI Conference, Baltimore, MD, 1996. Providence, RI: American Mathematical Society, p. 25-41 (Contemporary Mathematics; vol. 207).

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

1995

On the structure of Galois groups of the fields of rational functions

Bogomolov, F., 1995, K-theory and algebraic geometry: Connections with quadratic forms and division algebras. Summer Research Institute at UC Santa Barbara, 1992. Providence, RI: American Mathematical Society, p. 83-88 (Proceedings of Symposia in Pure Mathematics; vol. 58).

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

1993

Stability of vector bundles on surfaces and curves

Bogomolov, F., 1993, Einstein metrics and Yang-Mills connections: Papers from the 27th Taniguchi International Symposium in Sanda, Japan, 1990. New York: Dekker, p. 35-49 (Lecture Notes in Pure and Applied Mathematics; vol. 145).

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

Tensors in algebraic geometry

Bogomolov, F., 1993, Developments in mathematics: the Moscow school. London: Chapman & Hall, p. 34-53

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

1991

On two conjectures in birational algebraic geometry

Bogomolov, F., 1991, Algebraic geometry and analytic geometry. Proceedings of the ICM-90 Satellite Conference. Tokyo, 1990. Springer , p. 26-52

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

1988

2-cocycles and Azumaya algebras under birational transformations of algebraic schemes

Bogomolov, F. & Landia, AN., 1988, Algebraic geometry. Springer

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

1986

Rationality of the moduli of hyperelliptic curves of arbitrary genus

Bogomolov, F., 1986, Proceedings of the 1984 Vancouver Conference in Algebraic Geometry. Providence, RI: American Mathematical Society, p. 17-37 (CMS Conference Proceedings; vol. 6).

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

1984

Analytic sections in conic bundles

Bogomolov, F., 1984, Proceedings of the Steklov Institute of Mathematics: Algebraic geometry and its applications. Vol. 165. p. 16-23

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