List questions from sheaf-theory

Published on 03 Apr 2026 - 4:55

955

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sheaf defined on the support of a sheaf

Published on 25 Mar 2016 - 21:09

380

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A confusion with the Definition of 'Skyscraper Sheaf' from 'Stack Project'

Published on 30 Mar 2016 - 22:12

583

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For an algebraic group $G$ acting on a scheme $X$, $H^0(X,F)$ of a $G$-linearized $\mathcal{O}_X$-module $F$ has the structure of a $G$-representation

Published on 31 Mar 2016 - 19:46

250

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Is Coherent sheaf acyclic?

Published on 26 Mar 2026 - 9:48

107

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Are representables on the étale site on topological space sheaves?

Published on 07 Apr 2016 - 6:53

92

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Categories of definition for sites on spaces and sites on schemes

Published on 07 Apr 2016 - 7:02

56

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Prove that for $\mathcal{F}$ a sheaf on manifold $M$ we have $H^0(\{U\},\mathcal{F})=\mathcal{F}(M)$

Published on 27 Mar 2026 - 21:03

103

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Geometric example of a one object cover which does not satisfy the sheaf condition?

Published on 07 Apr 2016 - 19:45

346

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Alternative description of the sheafification

Published on 09 Apr 2016 - 20:12

54

Views

$\mathsf{Top}^2$ is a stack over $\mathsf{Top}$?

Published on 27 Mar 2026 - 2:26

188

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Proposition 4.1 in Vistoli's notes on descent

Published on 27 Mar 2026 - 1:03

233

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Two lifts of a local homeomorphism

Published on 30 Mar 2026 - 8:30

1k

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Twisting an exact sequence of sheaf gives an exact sequence

Published on 16 Apr 2016 - 0:11

2.5k

Views

Sheaf associated to a Cartier divisor

Published on 26 Mar 2026 - 12:06

List Question

Total space of a finite rank locally free sheaf, Vakil's 17.1.4 & 17.1.G

sheaf defined on the support of a sheaf

A confusion with the Definition of 'Skyscraper Sheaf' from 'Stack Project'

For an algebraic group $G$ acting on a scheme $X$, $H^0(X,F)$ of a $G$-linearized $\mathcal{O}_X$-module $F$ has the structure of a $G$-representation

Is Coherent sheaf acyclic?

Are representables on the étale site on topological space sheaves?

Categories of definition for sites on spaces and sites on schemes

Prove that for $\mathcal{F}$ a sheaf on manifold $M$ we have $H^0(\{U\},\mathcal{F})=\mathcal{F}(M)$

Geometric example of a one object cover which does not satisfy the sheaf condition?

Alternative description of the sheafification

$\mathsf{Top}^2$ is a stack over $\mathsf{Top}$?

Proposition 4.1 in Vistoli's notes on descent

Two lifts of a local homeomorphism

Twisting an exact sequence of sheaf gives an exact sequence

Sheaf associated to a Cartier divisor

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