Misha Verbitsky

Rio de Janeiro, Brazil

http://verbit.ru/

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

dg.differential-geometry complex-geometry asked Jun 24, 2015 at 22:20

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17 votes

Cohomology of real analytic coherent sheaves

ag.algebraic-geometry cv.complex-variables singularity-theory real-algebraic-geometry coherent-sheaves asked Dec 7, 2018 at 13:14

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14 votes

orbits of automorphism group for indefinite lattices

nt.number-theory complex-geometry lie-groups lattices quadratic-forms asked Oct 23, 2013 at 20:46

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12 votes

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

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12 votes

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

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11 votes

A list of all irreducible 4-dimensional real representations

rt.representation-theory lie-algebras asked Jun 17, 2019 at 23:23

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11 votes

Compact quaternionic Kahler manifolds of negative curvature: examples

dg.differential-geometry symmetric-spaces holonomy quaternionic-geometry asked Jul 23, 2017 at 18:26

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11 votes

Flat manifolds and irreducible representations

dg.differential-geometry riemannian-geometry asked Nov 22, 2014 at 17:07

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10 votes

Newlander-Nirenberg in dimension 2

dg.differential-geometry complex-geometry asked Mar 7, 2014 at 15:58

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9 votes

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

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Top Answers

180

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

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Two definitions of Calabi-Yau manifolds

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Three-dimensional compact Kähler manifolds

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Which almost complex manifolds admit a complex structure?

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Canonical Metric on Grassmann Manifold

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Is the deformation limit of Ricci-flat Kahler manifolds Kahler?

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Action of automorphisms of a $K3$ surface on its $(-2)$-curves

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Deformations of Kähler manifolds where Hodge decomposition fails?

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How restrictive is having zero Chern numbers for a compact complex manifold ? Same for negative Chern number?

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Weitzenböck Identities

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Infinite dimensional Riemannian geometry

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Different occurences of the word 'period' in algebraic geometry

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Roadmap to learning about Ricci Flow?

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Does it make sense to define a holomorphic structure on $\mathbb{C}P^\infty$ and vector bundles over it?

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Hodge dual of de Rham cohomology and singular cohomology

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moduli spaces are kahler?

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What is the moduli of an algebraic torus

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Complex manifolds whose tangent and cotangent bundles are isomorphic as complex vector bundles

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Coincide between Chern-connection and Levi-Civita connection

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Proper family deformation retracts onto special fiber

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

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Finiteness of De Rham cohomology of smooth quasi-projective varieties

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Is the generic deformation of a symplectic variety affine?

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Existence of closed manifolds with more than 3 linearly independent complex structures?

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"Simple" Kahler manifolds

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$SU(2)$ and the three sphere

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Are the Kahler Identities for a Holomorphic Vector Bundle Actually Interesting?

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The de Rham complex of a quaternion-Kahler manifold

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Dual of a Complex 2-Torus

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Non projective hyperbolic compact complex space

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