List questions from hodge-theory

192

Views

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

Published on 16 Apr 2026 - 1:30

177

Views

Star in Serre duality

Published on 30 Apr 2026 - 15:26

675

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

Published on 12 Apr 2026 - 19:26

416

Views

relative sign in Hodge star of tensor product

Published on 16 Apr 2026 - 11:22

228

Views

Examples of varieties with torsion in their integral Hodge structure

Published on 10 May 2026 - 17:15

203

Views

Definition of Hodge structure: is torsion allowed?

Published on 12 Apr 2026 - 6:02

270

Views

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

Published on 12 Apr 2026 - 10:37

186

Views

Reference request: Some theorems in an article of Grothendieck.

Published on 16 Apr 2026 - 15:23

1.1k

Views

Book on advanced Hodge Theory

Published on 09 Apr 2026 - 17:39

106

Views

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

Published on 14 Apr 2026 - 19:52

56

Views

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

Published on 15 Apr 2026 - 19:47

57

Views

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

Published on 15 Apr 2026 - 14:46

152

Views

Basic question: irregularity and geometric genus in Hodge theory

Published on 10 May 2026 - 16:10

2.2k

Views

Hodge star isomorphism

Published on 15 Apr 2026 - 8:02

97

Views

1-forms as a direct sum

Published on 14 Apr 2026 - 4:17

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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