List questions from sheaf-theory

Published on 20 Jun 2018 - 16:36

451

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

Published on 21 Jun 2018 - 21:10

125

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The criterion for conic sheaves

Published on 24 Jun 2018 - 15:18

136

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

Published on 25 Mar 2026 - 3:02

28

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Differential operators of finite order

Published on 25 Jun 2018 - 14:07

924

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When is a sheaf determined by its stalks

Published on 25 Jun 2018 - 16:30

135

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Fine sheaf and exact form

Published on 25 Mar 2026 - 2:59

325

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Equivalence between two definitions of sheaves

Published on 26 Jun 2018 - 19:39

320

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Ideal sheaf which is locally generated by sections.

Published on 19 Mar 2026 - 10:59

386

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degree of line bundle as an integral

Published on 25 Mar 2026 - 7:43

142

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Direct sums of presheaves and basis of topology

Published on 02 Jul 2018 - 7:37

3.9k

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The twisting sheaf

Published on 03 Jul 2018 - 14:56

186

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Stalk at a point of the sheaf of open sets

Published on 05 Jul 2018 - 8:49

653

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

Published on 22 Mar 2026 - 20:05

91

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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 06 Jul 2018 - 7:07

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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