List questions from hodge-theory

189

Views

Well-definedness of a coboundary map between a reduced $L^2$ de Rham cohomology group and a relative cohomology group

Published on 02 Jun 2014 - 14:12

172

Views

Star in Serre duality

Published on 11 Jul 2014 - 9:41

673

Views

Vector Laplace Beltrami operator on surface tangent and surface normal vector field

Published on 26 Mar 2026 - 1:28

413

Views

relative sign in Hodge star of tensor product

Published on 24 Jul 2014 - 11:21

225

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Examples of varieties with torsion in their integral Hodge structure

Published on 25 Mar 2026 - 3:07

200

Views

Definition of Hodge structure: is torsion allowed?

Published on 03 Aug 2014 - 11:24

268

Views

Integration of Laplacian on Manifold (Hopf's Lemma ?)

Published on 25 Mar 2026 - 20:15

183

Views

Reference request: Some theorems in an article of Grothendieck.

Published on 14 Aug 2014 - 0:02

1.1k

Views

Book on advanced Hodge Theory

Published on 28 Aug 2014 - 21:00

103

Views

unirational complex variety has $H^i(X,O_X) = 0$ for i > 0

Published on 26 Sep 2014 - 11:19

54

Views

A set of differential forms, uniformly bounded with their Laplacians, is precompact in $L^2$.

Published on 25 Mar 2026 - 23:10

55

Views

Basic question: $H^1$ and $H^{0,1}$

Published on 25 Mar 2026 - 4:35

151

Views

Basic question: irregularity and geometric genus in Hodge theory

Published on 25 Mar 2026 - 9:47

2.2k

Views

Hodge star isomorphism

Published on 13 Nov 2014 - 21:32

93

Views

1-forms as a direct sum

Published on 19 Nov 2014 - 10:58

List Question

Well-definedness of a coboundary map between a reduced $L^2$ de Rham cohomology group and a relative cohomology group

Star in Serre duality

Vector Laplace Beltrami operator on surface tangent and surface normal vector field

relative sign in Hodge star of tensor product

Examples of varieties with torsion in their integral Hodge structure

Definition of Hodge structure: is torsion allowed?

Integration of Laplacian on Manifold (Hopf's Lemma ?)

Reference request: Some theorems in an article of Grothendieck.

Book on advanced Hodge Theory

unirational complex variety has $H^i(X,O_X) = 0$ for i > 0

A set of differential forms, uniformly bounded with their Laplacians, is precompact in $L^2$.

Basic question: $H^1$ and $H^{0,1}$

Basic question: irregularity and geometric genus in Hodge theory

Hodge star isomorphism

1-forms as a direct sum

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