List questions from sheaf-cohomology

Published on 22 Apr 2019 - 15:09

132

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Is my proof that $H^1(X,F) = 0$ for the skyscraper sheaf correct?

Published on 24 Apr 2019 - 20:08

95

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Is this an example of a local system

Published on 16 May 2019 - 13:19

1.9k

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Serre's Vanishing Theorem

Published on 17 May 2019 - 5:13

143

Views

algebraic de Rham cohomology of normal crossing singularities

Published on 25 Mar 2026 - 0:07

144

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Semi-linear endomorphism of sheaf of $k$-vector spaces induces a semi-linear endomorphism on cohomology

Published on 22 May 2019 - 12:19

630

Views

Euler characteristic for pull back of a coherent sheaf under finite etale covering

Published on 26 May 2019 - 0:40

348

Views

Showing that $R^pf_*\mathcal{F} \cong \widetilde{H^p(X, \mathcal{F})}$

Published on 31 May 2019 - 1:55

81

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What is the "see-saw exact sequence"?

Published on 31 May 2019 - 8:06

400

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Why does exactness of Cech complex not make Cech cohomology trivial?

Published on 31 May 2019 - 15:10

157

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Deducing that $R^kf_*(F \otimes L^{\otimes n})=0$ for large enough $n$ from a statement about sheaf cohomology

Published on 01 Jun 2019 - 15:06

86

Views

Clarification Needed in a proof of Dolbeault Isomorphism related to Riemann Surface

Published on 25 Mar 2026 - 3:03

863

Views

Interpretation of higher direct images

Published on 13 Jun 2019 - 18:31

159

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How to construct base change of cohomology map $H^n(Y,\mathcal{F})\to H^n(X,f^*\mathcal{F})$?

Published on 14 Jun 2019 - 18:32

261

Views

Cohomology of Finitely Generated Ideal Sheaf

Published on 29 Jun 2019 - 13:07

List Question

Induced map from sheaves into cohomologies?

Is my proof that $H^1(X,F) = 0$ for the skyscraper sheaf correct?

Is this an example of a local system

Serre's Vanishing Theorem

algebraic de Rham cohomology of normal crossing singularities

Semi-linear endomorphism of sheaf of $k$-vector spaces induces a semi-linear endomorphism on cohomology

Euler characteristic for pull back of a coherent sheaf under finite etale covering

Showing that $R^pf_*\mathcal{F} \cong \widetilde{H^p(X, \mathcal{F})}$

What is the "see-saw exact sequence"?

Why does exactness of Cech complex not make Cech cohomology trivial?

Deducing that $R^kf_*(F \otimes L^{\otimes n})=0$ for large enough $n$ from a statement about sheaf cohomology

Clarification Needed in a proof of Dolbeault Isomorphism related to Riemann Surface

Interpretation of higher direct images

How to construct base change of cohomology map $H^n(Y,\mathcal{F})\to H^n(X,f^*\mathcal{F})$?

Cohomology of Finitely Generated Ideal Sheaf

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