List questions from hodge-theory

94

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Connection between polarization of K3 surface, as a morphism of Hodge structures, and polarization of K3 surface as an ample line bundle

Published on 12 Nov 2021 - 21:53

730

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A real vector space with an almost complex structure vs its complexification

Published on 29 Nov 2021 - 14:20

134

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Hodge decomposition for complex manifold

Published on 26 Mar 2026 - 12:42

96

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Proof of discrete Hodge decomposition

Published on 08 Dec 2021 - 5:09

51

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Sign in definition of polarization of Hodge structure

Published on 08 Dec 2021 - 15:32

213

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The definition of special cubic fourfolds

Published on 13 Dec 2021 - 18:38

170

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Why is the Hodge Decomposition profound?

Published on 25 Dec 2021 - 21:41

162

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Why are 1,0 differential forms $\mathbb C$-linear?

Published on 29 Dec 2021 - 18:59

148

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If $M$ is a compact Riemann surface, then $H^1(M,\mathbb R)\cong H^1(M,\mathcal O)$

Published on 01 Feb 2022 - 12:44

60

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A coordinate-free criterion for ellipticity of a linear differential operator

Published on 26 Mar 2026 - 1:35

91

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What does the $0$ in "Hodge number is the dimension of $H^{0}(V,\Omega^{n})$" mean please?

Published on 25 Mar 2026 - 2:12

86

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Characterizing strict morphisms in the category of bifiltered vector spaces

Published on 27 Mar 2026 - 2:39

92

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Equivalent condition for 3-form being primitive in 6 dimensions

Published on 24 Feb 2026 - 2:16

36

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Query about Laplace Eqution and Harmonic functions

Published on 14 Apr 2022 - 13:24

143

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Interpretation of the Higher Order Laplace-Hodge Operator

Published on 20 Apr 2022 - 10:34

List Question

Connection between polarization of K3 surface, as a morphism of Hodge structures, and polarization of K3 surface as an ample line bundle

A real vector space with an almost complex structure vs its complexification

Hodge decomposition for complex manifold

Proof of discrete Hodge decomposition

Sign in definition of polarization of Hodge structure

The definition of special cubic fourfolds

Why is the Hodge Decomposition profound?

Why are 1,0 differential forms $\mathbb C$-linear?

If $M$ is a compact Riemann surface, then $H^1(M,\mathbb R)\cong H^1(M,\mathcal O)$

A coordinate-free criterion for ellipticity of a linear differential operator

What does the $0$ in "Hodge number is the dimension of $H^{0}(V,\Omega^{n})$" mean please?

Characterizing strict morphisms in the category of bifiltered vector spaces

Equivalent condition for 3-form being primitive in 6 dimensions

Query about Laplace Eqution and Harmonic functions

Interpretation of the Higher Order Laplace-Hodge Operator

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