User Misha Verbitsky

2 votes

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

answered Sep 13, 2021 at 16:14

3 votes

Holomorphic version of Darboux's theorem

answered Sep 5, 2021 at 6:45

1 vote

HKT manifolds with non trivial canonical bundle

answered Aug 13, 2021 at 11:20

4 votes

Smooth rank one foliations with closed leaves

answered Aug 12, 2021 at 7:28

182 votes

Widely accepted mathematical results that were later shown to be wrong?

answered Aug 18, 2010 at 19:35

6 votes

Cohomology of neighborhood of $\mathbb{C}\mathbb{P}^1$ in $\mathbb{C}\mathbb{P}^n$

answered Oct 16, 2018 at 18:23

7 votes

Accepted

Proper family deformation retracts onto special fiber

answered Apr 7, 2017 at 14:39

1 vote

2-dimensional sublattices with all vectors having very big square (in absolute value)

answered Sep 1, 2015 at 22:33

4 votes

Accepted

Flat manifolds and irreducible representations

answered Jul 10, 2015 at 18:56

5 votes

Different notions of convergence of complex subvarieties

answered Sep 18, 2014 at 13:11

3 votes

Accepted

Nonpositive curvature of Stein manifolds

answered Sep 18, 2014 at 13:28

6 votes

First chern class of fibers of compact Kaehler algebraic variety

answered Aug 20, 2014 at 1:46

14 votes

Accepted

Canonical Metric on Grassmann Manifold

answered Aug 15, 2014 at 2:54

6 votes

Accepted

All Kähler metrics on a complex manifold?

answered Aug 14, 2014 at 2:10

3 votes

Deforming curves on Calabi-Yaus

answered Aug 8, 2014 at 15:11

10 votes

Weitzenböck Identities

answered Aug 4, 2014 at 3:13

5 votes

Extending vector bundles from subvarieties

answered Jul 28, 2014 at 11:19

6 votes

The Chern connection on a Hermitian symmetric domain

answered Jul 11, 2014 at 21:57

6 votes

Non projective hyperbolic compact complex space

answered Jul 8, 2014 at 22:51

2 votes

Projectively flat Hermitian curvature proportional to Kähler form?

answered Jul 4, 2014 at 21:21

3 votes

Accepted

Two questions about counter example for Torelli theorem for hyperkahler manifolds

answered Jul 3, 2014 at 20:48

5 votes

Condition for infinite dimensional complex manifold to be Kähler by pullback form

answered Jun 25, 2014 at 7:29

5 votes

Accepted

Ideals in the I-adic completion of a ring

answered Jun 25, 2014 at 8:46

7 votes

Is the group of isometries of a homogeneous Riemannian manifold maximal?

answered Jun 25, 2014 at 7:37

4 votes

Non Kähler blow-up of a Kähler manifold

answered Jun 19, 2014 at 9:15

1 vote

Kahler structure on holomorphic principal bundles

answered Apr 10, 2014 at 15:37

1 vote

Families of Fano varieties over non-hyperbolic curves

answered Jun 1, 2014 at 11:22

4 votes

Example of Non-Conformally Flat Einstein Manifold?

answered May 29, 2014 at 15:41

2 votes

Accepted

characterization of structure group

answered May 29, 2014 at 15:35

0 votes

Action of a Lie group with finitely many orbits

answered May 28, 2014 at 14:18

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106 Answers

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

Holomorphic version of Darboux's theorem

HKT manifolds with non trivial canonical bundle

Smooth rank one foliations with closed leaves

Widely accepted mathematical results that were later shown to be wrong?

Cohomology of neighborhood of $\mathbb{C}\mathbb{P}^1$ in $\mathbb{C}\mathbb{P}^n$

Proper family deformation retracts onto special fiber

2-dimensional sublattices with all vectors having very big square (in absolute value)

Flat manifolds and irreducible representations

Different notions of convergence of complex subvarieties

Nonpositive curvature of Stein manifolds

First chern class of fibers of compact Kaehler algebraic variety

Canonical Metric on Grassmann Manifold

All Kähler metrics on a complex manifold?

Deforming curves on Calabi-Yaus

Weitzenböck Identities

Extending vector bundles from subvarieties

The Chern connection on a Hermitian symmetric domain

Non projective hyperbolic compact complex space

Projectively flat Hermitian curvature proportional to Kähler form?

Two questions about counter example for Torelli theorem for hyperkahler manifolds

Condition for infinite dimensional complex manifold to be Kähler by pullback form

Ideals in the I-adic completion of a ring

Is the group of isometries of a homogeneous Riemannian manifold maximal?

Non Kähler blow-up of a Kähler manifold

Kahler structure on holomorphic principal bundles

Families of Fano varieties over non-hyperbolic curves

Example of Non-Conformally Flat Einstein Manifold?

characterization of structure group

Action of a Lie group with finitely many orbits