Question

About alternative ways of computing $H^1(X,\mathcal{O}_{\mathbb{P}^n}(m))$.

score 93 · Answer 1 · 2016-05-18 21:20:14

93

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About alternative ways of computing $H^1(X,\mathcal{O}_{\mathbb{P}^n}(m))$.

Published on 18 May 2016 - 21:20

score 141 · Answer 2 · 2016-05-19 12:55:12

141

Views

Local argument for proving that $\operatorname{Ext}^1$ vanishes for two sheaves

Published on 19 May 2016 - 12:55

score 205 · Answer 3 · 2016-05-21 14:01:36

205

Views

morphism of sheaves on $\mathbb{R}/\mathbb{Z}$

Published on 21 May 2016 - 14:01

score 4.9k · Answer 4 · 2026-03-27 21:03:29

4.9k

Views

Detail in the proof that sheaf cohomology = singular cohomology

Published on 27 Mar 2026 - 21:03

score 572 · Answer 5 · 2026-04-01 15:07:40

572

Views

Show that a smooth manifold modulo diffeomorphism group is a smooth manifold

Published on 01 Apr 2026 - 15:07

score 1.6k · Answer 6 · 2026-03-27 21:03:27

1.6k

Views

Homotopy-invariance of sheaf cohomology for locally constant sheaves

Published on 27 Mar 2026 - 21:03

score 1.3k · Answer 7 · 2016-05-26 12:37:34

1.3k

Views

Explicit unit/counit of inverse image/direct image adjunction.

Published on 26 May 2016 - 12:37

score 344 · Answer 8 · 2026-03-26 17:31:25

344

Views

Showing a class of objects is $F$-acyclic

Published on 26 Mar 2026 - 17:31

score 99 · Answer 9 · 2026-03-26 06:34:56

99

Views

How to deduce the usual definition of Quasi-coherent Module over a scheme from the general definition over ringed Spaces

Published on 26 Mar 2026 - 6:34

score 280 · Answer 10 · 2016-05-31 12:53:30

280

Views

Push-forward of quasi-coherent sheave on affine scheme is quasi-coherent

Published on 31 May 2016 - 12:53

score 417 · Answer 11 · 2016-06-03 13:10:46

417

Views

References for the functor of points vision of schemes.

Published on 03 Jun 2016 - 13:10

score 294 · Answer 12 · 2016-06-04 13:41:54

294

Views

Twisted sheaf isomorphic to invertible sheaf associated to 1-cocycle

Published on 04 Jun 2016 - 13:41

score 139 · Answer 13 · 2016-06-05 17:02:55

139

Views

Vanishing set of a pullback section

Published on 05 Jun 2016 - 17:02

score 122 · Answer 14 · 2026-03-27 22:32:38

122

Views

If $H^j(U,\mathcal{F})$ vanishes, stalk of the presheaf of cohomology groups of $\mathcal{F}$ also vanishes at $x \in U$

Published on 27 Mar 2026 - 22:32

score 120 · Answer 15 · 2016-06-07 16:43:02

120

Views

Sheaf definition vs "Mayer Vietoris"

Published on 07 Jun 2016 - 16:43

List Question

About alternative ways of computing $H^1(X,\mathcal{O}_{\mathbb{P}^n}(m))$.

Local argument for proving that $\operatorname{Ext}^1$ vanishes for two sheaves

morphism of sheaves on $\mathbb{R}/\mathbb{Z}$

Detail in the proof that sheaf cohomology = singular cohomology

Show that a smooth manifold modulo diffeomorphism group is a smooth manifold

Homotopy-invariance of sheaf cohomology for locally constant sheaves

Explicit unit/counit of inverse image/direct image adjunction.

Showing a class of objects is $F$-acyclic

How to deduce the usual definition of Quasi-coherent Module over a scheme from the general definition over ringed Spaces

Push-forward of quasi-coherent sheave on affine scheme is quasi-coherent

References for the functor of points vision of schemes.

Twisted sheaf isomorphic to invertible sheaf associated to 1-cocycle

Vanishing set of a pullback section

If $H^j(U,\mathcal{F})$ vanishes, stalk of the presheaf of cohomology groups of $\mathcal{F}$ also vanishes at $x \in U$

Sheaf definition vs "Mayer Vietoris"

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