List questions from sheaf-theory

Published on 08 Nov 2015 - 23:46

180

Views

Biproduct of sheaves is a sheaf

Published on 09 Nov 2015 - 15:46

88

Views

Bijection between left exact localizations of $PSh(C)$ and Grothendieck topologies on $C$

Published on 07 Mar 2026 - 5:55

362

Views

Very basic question on projective bundles: Why is the fiber a vector space?

Published on 15 Mar 2026 - 8:54

425

Views

Is the trivial sheaf fine?

Published on 12 Nov 2015 - 2:00

71

Views

Nice way to describe stalk of sheaf

Published on 12 Nov 2015 - 20:57

230

Views

An informal account of Godement resolution??

Published on 15 Nov 2015 - 11:30

701

Views

Skyscraper sheaf?

Published on 27 Mar 2026 - 16:09

1.3k

Views

Possible error in Hartshorne exercise III.2.7

Published on 27 Mar 2026 - 16:11

796

Views

Why is the rank of a locally free sheaf same everywhere if $X$ is connected?

Published on 19 Nov 2015 - 13:21

367

Views

Čech Cohomology with twisted coefficient: $H^1(\mathfrak{U}, \mathscr{F}) = 0$ on the circle

Published on 20 Nov 2015 - 9:00

33

Views

I want to prove that $\text{Sh}(C_{\mathbb{T}},J)$ is the classifing topos for the theory of $\mathbb{T}$-local algebras.

Published on 03 Mar 2026 - 13:22

561

Views

An image suitable for a skyscraper sheaf?

Published on 27 Mar 2026 - 16:04

2k

Views

Basic question: Global sections of structure sheaf is a field

Published on 02 Apr 2026 - 17:05

43

Views

Does action on $X$ define an action on cohomology $H^i(X,F)$?

Published on 23 Nov 2015 - 2:08

List Question

Proving adjoint of maps of sheaves of modules is a map of sheaves of modules

Biproduct of sheaves is a sheaf

Bijection between left exact localizations of $PSh(C)$ and Grothendieck topologies on $C$

Very basic question on projective bundles: Why is the fiber a vector space?

Is the trivial sheaf fine?

Nice way to describe stalk of sheaf

An informal account of Godement resolution??

Skyscraper sheaf?

Possible error in Hartshorne exercise III.2.7

Why is the rank of a locally free sheaf same everywhere if $X$ is connected?

Čech Cohomology with twisted coefficient: $H^1(\mathfrak{U}, \mathscr{F}) = 0$ on the circle

I want to prove that $\text{Sh}(C_{\mathbb{T}},J)$ is the classifing topos for the theory of $\mathbb{T}$-local algebras.

An image suitable for a skyscraper sheaf?

Basic question: Global sections of structure sheaf is a field

Does action on $X$ define an action on cohomology $H^i(X,F)$?

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