List questions from sheaf-cohomology

Published on 25 Feb 2017 - 18:52

243

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Where we use assumption that resolution is locally free (Hartshorne III.6.5)

Published on 26 Feb 2017 - 22:57

232

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Cohomology of rationally equivalent cycles

Published on 25 Mar 2026 - 19:05

408

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How to calculate $Ri^!$?

Published on 25 Mar 2026 - 22:09

49

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Canonical isomorphism from Ext to $H^1$

Published on 08 Mar 2017 - 17:44

56

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Cohomology for affine open maps

Published on 09 Mar 2017 - 15:00

612

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Map of Čech cohomology induced by refinement

Published on 24 Mar 2017 - 22:57

326

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Morphism $H^0(X,K_X^\ast/\mathcal O_X^\ast)\to H^1(X,\mathcal O_X^\ast)$ from exact sheaf sequence: why does it have this form?

Published on 25 Mar 2026 - 13:56

118

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Rigid manifolds

Published on 25 Mar 2026 - 15:45

57

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$Y \subset X$ noetherian schemes, $\mathcal{F} \in Y-\mathbf{Mod}$. When $H^i(Y,\mathcal{F})=H^i(X,\mathcal{F})?$

Published on 28 Mar 2017 - 16:28

102

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Is it true for finite morphism $f$ between integral projective schemes that $H^n(\mathcal{F})=H^n(f_* \mathcal{F})$?

Published on 29 Mar 2017 - 10:29

332

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Sections of box tensor product of sheaves on the diagonal

Published on 02 Apr 2017 - 10:05

168

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How to define a natural map from $H^i(Y,\pi_*\mathscr F)\to H^i(X,\mathscr F)$?

Published on 03 Apr 2017 - 21:11

1.4k

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Relative vs. local sheaf cohomology?

Published on 06 Apr 2017 - 12:29

109

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Induced Euler short exact sequence on wedge product

Published on 01 Feb 2023 - 17:32

List Question

Second differential in Cech cohomology for non abelian groups

Where we use assumption that resolution is locally free (Hartshorne III.6.5)

Cohomology of rationally equivalent cycles

How to calculate $Ri^!$?

Canonical isomorphism from Ext to $H^1$

Cohomology for affine open maps

Map of Čech cohomology induced by refinement

Morphism $H^0(X,K_X^\ast/\mathcal O_X^\ast)\to H^1(X,\mathcal O_X^\ast)$ from exact sheaf sequence: why does it have this form?

Rigid manifolds

$Y \subset X$ noetherian schemes, $\mathcal{F} \in Y-\mathbf{Mod}$. When $H^i(Y,\mathcal{F})=H^i(X,\mathcal{F})?$

Is it true for finite morphism $f$ between integral projective schemes that $H^n(\mathcal{F})=H^n(f_* \mathcal{F})$?

Sections of box tensor product of sheaves on the diagonal

How to define a natural map from $H^i(Y,\pi_*\mathscr F)\to H^i(X,\mathscr F)$?

Relative vs. local sheaf cohomology?

Induced Euler short exact sequence on wedge product

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