List questions from sheaf-cohomology

Published on 10 May 2026 - 20:53

138

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$\tilde{H}^n(X,\mathbb{Z})\cong {H}^n(X,\mathbb{Z})\otimes_{\mathbb{Z}}\mathbb{R}$?

Published on 09 Apr 2026 - 3:18

144

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$\mathcal{H}^q$ is a locally constant presheaf

Published on 10 May 2026 - 15:51

138

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Fine sheaf and exact form

Published on 14 Apr 2026 - 11:02

55

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correspondence between differentiable line bundles and elements of $H_1(X,\epsilon^*)$

Published on 14 Apr 2026 - 23:33

241

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Differentiable complex line bundles are determined by their Chern class in $H^2(X,\mathbb{Z}$)?

Published on 10 May 2026 - 15:55

565

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Cohomology group of the affine plane without origin: need help with algebraic computation

Published on 12 Apr 2026 - 5:46

604

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Proof of Serre Duality in Hartshorne

Published on 10 Apr 2026 - 15:11

56

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The image of the natural homomorphism ${H^2}(X,\mathbb{R})\to {H^2}(X,\mathbb{C})$

Published on 16 Apr 2026 - 13:09

81

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Maps between two Leray spectral sequences

Published on 10 May 2026 - 11:39

69

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The proof of $c_1(H^1(X,\mathcal{O}^*))=\tilde{H}^2_{1,1}(X,\mathbb{Z})$

Published on 16 Apr 2026 - 11:57

109

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What is the meaning of "support propre"?

Published on 28 Apr 2026 - 6:37

953

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Cohomology of Affine Schemes

Published on 11 Apr 2026 - 15:54

121

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How to compute $H^{\bullet}(\mathbb{P}^n,\mathcal{O}(k))$ via Dolbeault cohomology?

Published on 13 Apr 2026 - 22:54

156

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Leary cover and good cover

Published on 14 Apr 2026 - 8:12

List Question

Exact sequence of sheaves in Serre's "Faisceaux algebriques coherents"

$\tilde{H}^n(X,\mathbb{Z})\cong {H}^n(X,\mathbb{Z})\otimes_{\mathbb{Z}}\mathbb{R}$?

$\mathcal{H}^q$ is a locally constant presheaf

Fine sheaf and exact form

correspondence between differentiable line bundles and elements of $H_1(X,\epsilon^*)$

Differentiable complex line bundles are determined by their Chern class in $H^2(X,\mathbb{Z}$)?

Cohomology group of the affine plane without origin: need help with algebraic computation

Proof of Serre Duality in Hartshorne

The image of the natural homomorphism ${H^2}(X,\mathbb{R})\to {H^2}(X,\mathbb{C})$

Maps between two Leray spectral sequences

The proof of $c_1(H^1(X,\mathcal{O}^*))=\tilde{H}^2_{1,1}(X,\mathbb{Z})$

What is the meaning of "support propre"?

Cohomology of Affine Schemes

How to compute $H^{\bullet}(\mathbb{P}^n,\mathcal{O}(k))$ via Dolbeault cohomology?

Leary cover and good cover

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