Bogomolov, Fedor 1946
Overview
Works:  40 works in 103 publications in 1 language and 1,815 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor 
Classifications:  QA564, 516.35 
Publication Timeline
.
Most widely held works by
Fedor Bogomolov
Geometric methods in algebra and number theory
by
Fedor Bogomolov(
)
21 editions published between 2004 and 2006 in English and held by 619 WorldCat member libraries worldwide
"This volume contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory. The collection gives a representative sample of problems and the most recent results in algebraic and arithmetic geometry; the text can serve as an intense introduction for graduate students and those wishing to pursue research in these areas."Résumé de l'éditeur
21 editions published between 2004 and 2006 in English and held by 619 WorldCat member libraries worldwide
"This volume contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory. The collection gives a representative sample of problems and the most recent results in algebraic and arithmetic geometry; the text can serve as an intense introduction for graduate students and those wishing to pursue research in these areas."Résumé de l'éditeur
Cohomological and geometric approaches to rationality problems new perspectives
by
Fedor Bogomolov(
)
17 editions published in 2010 in English and held by 494 WorldCat member libraries worldwide
"This comprehensive text consists of surveys and research papers by leading specialists in the field. Topics discussed include the rationality of quotient spaces, cohomological invariants of finite groups of Lie type, rationality of moduli spaces of curves, and rational points on algebraic varieties. This volume is intended for research mathematicians and graduate students interested in algebraic geometry, and specifically in rationality problems."Jacket
17 editions published in 2010 in English and held by 494 WorldCat member libraries worldwide
"This comprehensive text consists of surveys and research papers by leading specialists in the field. Topics discussed include the rationality of quotient spaces, cohomological invariants of finite groups of Lie type, rationality of moduli spaces of curves, and rational points on algebraic varieties. This volume is intended for research mathematicians and graduate students interested in algebraic geometry, and specifically in rationality problems."Jacket
Birational geometry, rational curves, and arithmetic
by
Fedor Bogomolov(
)
9 editions published in 2013 in English and held by 365 WorldCat member libraries worldwide
Covers recent advances in higherdimensional birational geometry with special regard to arithmetic applications, highlighting the tight connections between arithmetic and geometry. Intended to serve as an introduction for graduate students and researchers interested in entering the field, and as a source of reference for experts working on related problems
9 editions published in 2013 in English and held by 365 WorldCat member libraries worldwide
Covers recent advances in higherdimensional birational geometry with special regard to arithmetic applications, highlighting the tight connections between arithmetic and geometry. Intended to serve as an introduction for graduate students and researchers interested in entering the field, and as a source of reference for experts working on related problems
Algebraic curves and onedimensional fields
by
Fedor Bogomolov(
Book
)
9 editions published in 2002 in English and held by 222 WorldCat member libraries worldwide
9 editions published in 2002 in English and held by 222 WorldCat member libraries worldwide
International Press Conference on Motives, Polylogarithms and Hodge Theory : University of California, Irvine, June 1998
by polylogarithms and hodge theory International Press Conference on motives(
Book
)
4 editions published in 2002 in English and held by 46 WorldCat member libraries worldwide
4 editions published in 2002 in English and held by 46 WorldCat member libraries worldwide
Vector bundles
by
Andrej Tyurin(
Book
)
1 edition published in 2008 in English and held by 9 WorldCat member libraries worldwide
1 edition published in 2008 in English and held by 9 WorldCat member libraries worldwide
International Press Conference on motives, polylogarithms and Hodge theory. University of California, Irvine, June 1998
by Polylogarithms and Hodge Theory International Press Conference on Motives(
Book
)
4 editions published in 2002 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 2002 in English and held by 4 WorldCat member libraries worldwide
Hodge theory
(
Book
)
1 edition published in 2002 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 4 WorldCat member libraries worldwide
Rational curves and points on K3 surfaces
by
Fedor Bogomolov(
Book
)
3 editions published in 2003 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 2003 in English and held by 4 WorldCat member libraries worldwide
Fundamental groups in geometry : September 8th  September 14th, 2002
(
Book
)
1 edition published in 2002 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 3 WorldCat member libraries worldwide
Stein small deformations of strictly pseudoconvex surfaces
by
Fedor Bogomolov(
Book
)
1 edition published in 1997 in English and held by 3 WorldCat member libraries worldwide
Abstract: "This article analyses the behaviour of analytic cycles on deformations of strictly pseudoconvex surfaces. As a preliminary result we show that a relatively compact strictly pseudoconvex surface is the union of two Stein open subsets. The main result of the article is that there is a small deformation of a minimal relatively compact strictly pseudoconvex surface that has no positive dimensional analytic cycles, hence is Stein. We also prove that a strictly pseudoconvex surface contains a semiregular 1dimensional cycle if it contains one 1dim cycle. In the last section the main result is applied to the study of contact structures of three dimensional manifolds."
1 edition published in 1997 in English and held by 3 WorldCat member libraries worldwide
Abstract: "This article analyses the behaviour of analytic cycles on deformations of strictly pseudoconvex surfaces. As a preliminary result we show that a relatively compact strictly pseudoconvex surface is the union of two Stein open subsets. The main result of the article is that there is a small deformation of a minimal relatively compact strictly pseudoconvex surface that has no positive dimensional analytic cycles, hence is Stein. We also prove that a strictly pseudoconvex surface contains a semiregular 1dimensional cycle if it contains one 1dim cycle. In the last section the main result is applied to the study of contact structures of three dimensional manifolds."
International Press Conference on Motives, Polylogarithms and Hodge Theory : (University of California, Irvine, June 1998)
by
Polylogarithms and Hodge Theory (1998, Irvine, Calif.) Conference on Motives(
Book
)
1 edition published in 2002 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 3 WorldCat member libraries worldwide
Complex projective surfaces and infinite groups
by
Fedor Bogomolov(
Book
)
1 edition published in 1997 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 3 WorldCat member libraries worldwide
Motives and polylogaritms
(
Book
)
1 edition published in 2002 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 3 WorldCat member libraries worldwide
On the fillability of contact structures on three dimensional manifolds
by
Fedor Bogomolov(
Book
)
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
Commuting elements in the Galois group
by
Fedor Bogomolov(
Book
)
1 edition published in 1993 in Undetermined and held by 2 WorldCat member libraries worldwide
1 edition published in 1993 in Undetermined and held by 2 WorldCat member libraries worldwide
Bloch's conjecture for torsion cohomology of algebraic varieties
by
Fedor Bogomolov(
Book
)
in English and held by 2 WorldCat member libraries worldwide
in English and held by 2 WorldCat member libraries worldwide
Finite energy foliations of convex sets in R4
by Umberto Leone Hryniewicz(
Book
)
2 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
The foliations can be used to construct embeddings of certain symplectic 4manifolds into K, as well to construct embeddings of K into them. These manifolds are required to be foliated by symplectic disks or planes that intersect orthogonally in the symplectic sense. Examples are balls, ellipsoids, cylinders and polydisks. The constructed embeddings are not symplectic but are amenable to Moser isotopy. The conditions that allow such isotpies to exist long enough will classify symplectic capacities on convex subsets of (R4,o0)
2 editions published in 2008 in English and held by 2 WorldCat member libraries worldwide
The foliations can be used to construct embeddings of certain symplectic 4manifolds into K, as well to construct embeddings of K into them. These manifolds are required to be foliated by symplectic disks or planes that intersect orthogonally in the symplectic sense. Examples are balls, ellipsoids, cylinders and polydisks. The constructed embeddings are not symplectic but are amenable to Moser isotopy. The conditions that allow such isotpies to exist long enough will classify symplectic capacities on convex subsets of (R4,o0)
International Press Conference on Motives, Polylogarithms and Hodge Theory : (University of California, Irvine, June 1998)
by
Polylogarithms and Hodge Theory (1998, Irvine, Calif.) Conference on Motives(
Book
)
1 edition published in 2002 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 2 WorldCat member libraries worldwide
International Press Conference on Motives, Polylogarithms and Hodge Theory : (University of California, Irvine, June 1998)
by Polylogarithms and Hodge Theory International Press Conference on Motives(
Book
)
2 editions published in 2002 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2002 in English and held by 2 WorldCat member libraries worldwide
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Associated Subjects
Algebra Convex surfaces Curves, Algebraic Fundamental groups (Mathematics) Geometry Geometry, Algebraic Group theory Hodge theory Homology theory Logarithmic functions Manifolds (Mathematics) Mathematics Motives (Mathematics) Number theory Projective curves Rational points (Geometry) Smooth affine curves Stein manifolds Surfaces, Algebraic Surfaces, Deformation of Topological groups Vector bundles
Alternative Names
Bogomolov, F. 1946
Bogomolov, F. A. 1946
Bogomolov, F. A. (Fedor A.), 1946
Bogomolov, Fedor 1946
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