Research Output per year

## Research Output

## 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 proceeding › Chapter (peer-reviewed)

## 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)

## 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 proceeding › Chapter (peer-reviewed)

## 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 proceeding › Chapter (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 proceeding › Chapter (peer-reviewed)

## 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 proceeding › Chapter (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 proceeding › Chapter (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 proceeding › Chapter (peer-reviewed)

## 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 proceeding › Chapter (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 proceeding › Chapter (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 proceeding › Chapter (peer-reviewed)

## 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 proceeding › Chapter (peer-reviewed)

## 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 proceeding › Chapter (peer-reviewed)

## 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 proceeding › Chapter (peer-reviewed)

## 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 proceeding › Chapter (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 proceeding › Chapter (peer-reviewed)

## 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 proceeding › Chapter (peer-reviewed)

## 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 proceeding › Chapter (peer-reviewed)

## 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 proceeding › Chapter (peer-reviewed)

## 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 proceeding › Chapter (peer-reviewed)