User Misha Verbitsky

4 votes

Accepted

Kähler Identities: from the untwisted to the twisted case

answered Jan 23, 2014 at 14:58

4 votes

Non simply connected HyperKähler 4-manifolds without ALE metrics

answered Aug 20, 2013 at 0:36

4 votes

Example of a compact Kähler manifold with non-finitely generated canonical ring?

answered Jul 5, 2013 at 14:59

4 votes

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Cohomology of invariant differential forms

answered Oct 28, 2022 at 13:48

3 votes

Accepted

Bott-Chern cohomology for singular complex spaces

answered Sep 9, 2022 at 18:48

3 votes

Accepted

Bishop's compactness theorem and convergence of analytic subset

answered Jul 22, 2022 at 21:53

3 votes

Blowing up of a singular subvariety

answered Sep 17, 2022 at 19:05

3 votes

Can a non-Kähler complex manifold be rationally connected?

answered May 23, 2022 at 11:54

3 votes

Dolbeault cohomology of Hopf manifolds

answered Jan 20, 2022 at 15:57

3 votes

Grauert's criteria for ample line bundles

answered Nov 26, 2021 at 19:37

3 votes

Accepted

The Hodge number $h^{2,0}$ of (finite) quotient variety of a K3 surface

answered Nov 30, 2021 at 21:53

3 votes

Holomorphic version of Darboux's theorem

answered Sep 5, 2021 at 6:45

3 votes

top chern class

answered Dec 20, 2013 at 14:44

3 votes

Foliations by holomorphic curves on complex surfaces

answered Jul 29, 2013 at 6:16

3 votes

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Global Definition of the Almost Complex Structure of a Complex Manifold

answered Feb 23, 2011 at 20:57

3 votes

examples of Kähler manifolds with trivial Hodge numbers and first Chern classes

answered May 28, 2014 at 13:48

3 votes

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Two questions about counter example for Torelli theorem for hyperkahler manifolds

answered Jul 3, 2014 at 20:48

3 votes

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Positivity question on K3 surfaces

answered Mar 7, 2014 at 15:37

3 votes

Deforming curves on Calabi-Yaus

answered Aug 8, 2014 at 15:11

3 votes

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Nonpositive curvature of Stein manifolds

answered Sep 18, 2014 at 13:28

2 votes

Accepted

characterization of structure group

answered May 29, 2014 at 15:35

2 votes

Projectively flat Hermitian curvature proportional to Kähler form?

answered Jul 4, 2014 at 21:21

2 votes

Holonomy group of a non-compact Kaehler manifold

answered Jul 5, 2013 at 12:00

2 votes

Isomorphism of cotangent bundles..

answered Dec 11, 2010 at 22:26

2 votes

K3 surface with a non-symplectic involution: a basic question

answered Nov 25, 2013 at 12:30

2 votes

Quotient of an abelian surface by an antisymplectic involution

answered Sep 25, 2013 at 14:21

2 votes

Accepted

Intuition for holomorphic bisectional curvature

answered Oct 30, 2013 at 10:11

2 votes

Do holomorphic symplectic manifolds admit (high codimension) embeddings in some standard space?

answered Sep 13, 2021 at 16:14

2 votes

Holomorphic vector fields acting on Dolbeault cohomology

answered Apr 26, 2022 at 16:57

2 votes

Is a linear vector field a geodesible vector field?

answered Dec 14, 2021 at 14:40

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108 Answers

Kähler Identities: from the untwisted to the twisted case

Non simply connected HyperKähler 4-manifolds without ALE metrics

Example of a compact Kähler manifold with non-finitely generated canonical ring?

Cohomology of invariant differential forms

Bott-Chern cohomology for singular complex spaces

Bishop's compactness theorem and convergence of analytic subset

Blowing up of a singular subvariety

Can a non-Kähler complex manifold be rationally connected?

Dolbeault cohomology of Hopf manifolds

Grauert's criteria for ample line bundles

The Hodge number $h^{2,0}$ of (finite) quotient variety of a K3 surface

Holomorphic version of Darboux's theorem

top chern class

Foliations by holomorphic curves on complex surfaces

Global Definition of the Almost Complex Structure of a Complex Manifold

examples of Kähler manifolds with trivial Hodge numbers and first Chern classes

Two questions about counter example for Torelli theorem for hyperkahler manifolds

Positivity question on K3 surfaces

Deforming curves on Calabi-Yaus

Nonpositive curvature of Stein manifolds

characterization of structure group

Projectively flat Hermitian curvature proportional to Kähler form?

Holonomy group of a non-compact Kaehler manifold

Isomorphism of cotangent bundles..

K3 surface with a non-symplectic involution: a basic question

Quotient of an abelian surface by an antisymplectic involution

Intuition for holomorphic bisectional curvature

Do holomorphic symplectic manifolds admit (high codimension) embeddings in some standard space?

Holomorphic vector fields acting on Dolbeault cohomology

Is a linear vector field a geodesible vector field?