User Misha Verbitsky

76 votes

2 answers

8k views

Complex structure on $S^6$ gets published in Journ. Math. Phys

dg.differential-geometry complex-geometry

asked Jun 24, 2015 at 22:20

17 votes

1 answer

634 views

Cohomology of real analytic coherent sheaves

asked Dec 7, 2018 at 13:14

13 votes

3 answers

1k views

orbits of automorphism group for indefinite lattices

nt.number-theory complex-geometry lie-groups lattices quadratic-forms

asked Oct 23, 2013 at 20:46

12 votes

3 answers

720 views

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

nt.number-theory lattices quadratic-forms

asked Aug 25, 2015 at 19:56

12 votes

1 answer

337 views

Compact quaternionic Kahler manifolds of negative curvature: examples

dg.differential-geometry symmetric-spaces holonomy quaternionic-geometry

asked Jul 23, 2017 at 18:26

11 votes

1 answer

560 views

Flat manifolds and irreducible representations

dg.differential-geometry riemannian-geometry

asked Nov 22, 2014 at 17:07

11 votes

2 answers

436 views

A list of all irreducible 4-dimensional real representations

rt.representation-theory lie-algebras

asked Jun 17, 2019 at 23:23

11 votes

1 answer

429 views

Does a resolution of a rational singularity have rationally connected fibers?

ag.algebraic-geometry complex-geometry birational-geometry singularity-theory

asked Sep 23, 2021 at 13:16

10 votes

3 answers

723 views

Newlander-Nirenberg in dimension 2

dg.differential-geometry complex-geometry

asked Mar 7, 2014 at 15:58

9 votes

2 answers

435 views

Bieberbach theorem for compact, flat Riemannian orbifolds

dg.differential-geometry gr.group-theory riemannian-geometry geometric-group-theory affine-geometry

asked Feb 9, 2019 at 16:26

8 votes

1 answer

238 views

reference to a theorem about a product of harmonic and parallel forms

dg.differential-geometry riemannian-geometry hodge-theory

asked Jul 1, 2021 at 17:46

8 votes

2 answers

214 views

Smooth rank one foliations with closed leaves

smooth-manifolds foliations orbifolds

asked Aug 11, 2021 at 7:21

7 votes

1 answer

449 views

Stabilizer of Sp(n) and U(n) in GL(n)

rt.representation-theory lie-groups algebraic-groups

asked Nov 30, 2018 at 17:26

7 votes

0 answers

111 views

holomorphic functions on Stein manifolds reaching maxima in a given point on the boundary (Shilov boundary)

complex-geometry cv.complex-variables complex-manifolds stein-manifolds

asked Oct 8, 2021 at 6:20

7 votes

1 answer

341 views

Gorenstein varieties: why the two definitions are equivalent?

ag.algebraic-geometry complex-geometry singularity-theory cohen-macaulay-rings serre-duality

asked Nov 3, 2021 at 9:20

6 votes

0 answers

82 views

G-sheaves on spaces with a free G-action

sheaf-theory covering-spaces equivariant

asked May 16 at 16:18

5 votes

1 answer

395 views

Level set of convex and plurisubharmonic functions (Ricci curvature and other curvature conditions)

dg.differential-geometry complex-geometry kahler-manifolds

asked Jun 1, 2014 at 11:31

5 votes

2 answers

300 views

fibers of birational contraction for complex manifolds - are they Moishezon?

ag.algebraic-geometry complex-geometry birational-geometry complex-manifolds

asked Apr 17, 2017 at 11:46

4 votes

1 answer

177 views

CSC Kahler metrics on a blown-up torus

dg.differential-geometry kahler-manifolds kahler-einstein-metric

asked Jun 28, 2017 at 16:15

4 votes

1 answer

420 views

Dirichlet polyhedra for hyperbolic manifolds

dg.differential-geometry mg.metric-geometry hyperbolic-geometry

asked Sep 26, 2014 at 14:16

3 votes

0 answers

122 views

Deformation to a normal cone for a holomorphically symplectic manifold

ag.algebraic-geometry holomorphic-symplectic hyperkaehler

asked Aug 27, 2021 at 6:46

2 votes

0 answers

42 views

Calabi–Yau theorem and complex Monge–Ampère equation for transversally Kähler manifolds

complex-geometry kahler-manifolds foliations calabi-yau sasakian-geometry

asked 18 hours ago

1 vote

1 answer

242 views

compact manifold as a hyperkahler quotient of an infinite-dimensional affine space

ag.algebraic-geometry gauge-theory quaternionic-geometry hyperkaehler

asked Jul 25, 2018 at 14:58

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23 Questions

Complex structure on $S^6$ gets published in Journ. Math. Phys

Cohomology of real analytic coherent sheaves

orbits of automorphism group for indefinite lattices

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

Compact quaternionic Kahler manifolds of negative curvature: examples

Flat manifolds and irreducible representations

A list of all irreducible 4-dimensional real representations

Does a resolution of a rational singularity have rationally connected fibers?

Newlander-Nirenberg in dimension 2

Bieberbach theorem for compact, flat Riemannian orbifolds

reference to a theorem about a product of harmonic and parallel forms

Smooth rank one foliations with closed leaves

Stabilizer of Sp(n) and U(n) in GL(n)

holomorphic functions on Stein manifolds reaching maxima in a given point on the boundary (Shilov boundary)

Gorenstein varieties: why the two definitions are equivalent?

G-sheaves on spaces with a free G-action

Level set of convex and plurisubharmonic functions (Ricci curvature and other curvature conditions)

fibers of birational contraction for complex manifolds - are they Moishezon?

CSC Kahler metrics on a blown-up torus

Dirichlet polyhedra for hyperbolic manifolds

Deformation to a normal cone for a holomorphically symplectic manifold

Calabi–Yau theorem and complex Monge–Ampère equation for transversally Kähler manifolds

compact manifold as a hyperkahler quotient of an infinite-dimensional affine space