List questions from sheaf-theory

Published on 11 Apr 2026 - 4:29

454

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Meaning of Grothendieck quote: recover a topological space by its category of sheaves

Published on 17 Apr 2026 - 5:14

128

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The criterion for conic sheaves

Published on 12 Apr 2026 - 9:36

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

31

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Differential operators of finite order

Published on 14 Apr 2026 - 22:06

927

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When is a sheaf determined by its stalks

Published on 10 Apr 2026 - 22:38

138

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Fine sheaf and exact form

Published on 14 Apr 2026 - 11:02

328

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Equivalence between two definitions of sheaves

Published on 09 Apr 2026 - 22:20

324

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Ideal sheaf which is locally generated by sections.

Published on 25 Apr 2026 - 6:03

388

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degree of line bundle as an integral

Published on 09 Apr 2026 - 20:24

145

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Direct sums of presheaves and basis of topology

Published on 13 Apr 2026 - 19:47

3.9k

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The twisting sheaf

Published on 13 Apr 2026 - 9:34

189

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Stalk at a point of the sheaf of open sets

Published on 14 Apr 2026 - 23:23

658

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Counter-examples for quasi-coherent, coherent, locally free and invertible sheaves

Published on 10 May 2026 - 15:20

94

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Counter-example: If $U \subseteq X$ is open and we have a S.E.S of Abelian sheaves, the corresponding S.E.S of rings/modules may not be exact

Published on 16 Apr 2026 - 13:29

List Question

Sheaves with the same stalks are not necessarily isomorphic

Meaning of Grothendieck quote: recover a topological space by its category of sheaves

The criterion for conic sheaves

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

Differential operators of finite order

When is a sheaf determined by its stalks

Fine sheaf and exact form

Equivalence between two definitions of sheaves

Ideal sheaf which is locally generated by sections.

degree of line bundle as an integral

Direct sums of presheaves and basis of topology

The twisting sheaf

Stalk at a point of the sheaf of open sets

Counter-examples for quasi-coherent, coherent, locally free and invertible sheaves

Counter-example: If $U \subseteq X$ is open and we have a S.E.S of Abelian sheaves, the corresponding S.E.S of rings/modules may not be exact

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