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(Pre)Sheaves of abelian groups

score 69 · Answer 1 · 2026-04-01 12:46:32

69

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(Pre)Sheaves of abelian groups

Published on 01 Apr 2026 - 12:46

score 56 · Answer 2 · 2026-03-25 03:22:53

56

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Defining the presehaf Hom(-,U) as a sheaf

Published on 25 Mar 2026 - 3:22

score 64 · Answer 3 · 2026-03-26 04:52:10

64

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Higher Riemann-Hilbert Correspondence Infinity Local Systems and Local Systems

Published on 26 Mar 2026 - 4:52

score 48 · Answer 4 · 2023-12-11 08:42:38

48

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Kernel of a morphism of $\mathcal O_X-$modules is locally free of rank $\geq a-b$.

Published on 11 Dec 2023 - 8:42

score 19 · Answer 5 · 2023-12-12 00:51:08

19

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Monomorphism of sheaves of abelian groups implies injection on stalks

Published on 12 Dec 2023 - 0:51

score 52 · Answer 6 · 2026-02-23 06:59:34

52

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Pullback of structure sheaf along point inclusion into locally ringed space is residue field?

Published on 23 Feb 2026 - 6:59

score 69 · Answer 7 · 2026-03-30 03:37:27

69

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$\mathcal O_X^n$ is a coherent sheaf for each $n$

Published on 30 Mar 2026 - 3:37

score 58 · Answer 8 · 2026-02-23 03:01:20

58

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Does a morphism of presheaves extend to a morphism of the corresponding sheaves of discontinuous sections uniquely?

Published on 23 Feb 2026 - 3:01

score 125 · Answer 9 · 2026-03-25 13:56:56

125

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Effective divisors of $X$ with $\operatorname{Pic}X\cong \mathbb Z$

Published on 25 Mar 2026 - 13:56

score 115 · Answer 10 · 2026-03-30 01:28:09

115

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Exercise II.7.3 Hartshorne

Published on 30 Mar 2026 - 1:28

score 60 · Answer 11 · 2026-03-25 20:11:16

60

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Pullback of the tautological subbundle under the canonical inclusion

Published on 25 Mar 2026 - 20:11

score 137 · Answer 12 · 2026-03-25 14:25:13

137

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The pushforward of a locally free sheaf along $\Bbb P^1\to\Bbb P^1$, $t\mapsto t^2$ is locally free

Published on 25 Mar 2026 - 14:25

score 153 · Answer 13 · 2023-12-22 10:42:34

153

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Is a finitely generated and globally generated $\mathcal{O}_X$-module over non-quasicompact $X$ always not finitely globally generated?

Published on 22 Dec 2023 - 10:42

score 116 · Answer 14 · 2026-03-30 03:38:05

116

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Quotient by sheaf of ideals associated to effective divisor

Published on 30 Mar 2026 - 3:38

score 78 · Answer 15 · 2026-03-27 02:40:26

78

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How to show naturality of the section when trying to prove gluing axiom for sheaf hom

Published on 27 Mar 2026 - 2:40

List Question

(Pre)Sheaves of abelian groups

Defining the presehaf Hom(-,U) as a sheaf

Higher Riemann-Hilbert Correspondence Infinity Local Systems and Local Systems

Kernel of a morphism of $\mathcal O_X-$modules is locally free of rank $\geq a-b$.

Monomorphism of sheaves of abelian groups implies injection on stalks

Pullback of structure sheaf along point inclusion into locally ringed space is residue field?

$\mathcal O_X^n$ is a coherent sheaf for each $n$

Does a morphism of presheaves extend to a morphism of the corresponding sheaves of discontinuous sections uniquely?

Effective divisors of $X$ with $\operatorname{Pic}X\cong \mathbb Z$

Exercise II.7.3 Hartshorne

Pullback of the tautological subbundle under the canonical inclusion

The pushforward of a locally free sheaf along $\Bbb P^1\to\Bbb P^1$, $t\mapsto t^2$ is locally free

Is a finitely generated and globally generated $\mathcal{O}_X$-module over non-quasicompact $X$ always not finitely globally generated?

Quotient by sheaf of ideals associated to effective divisor

How to show naturality of the section when trying to prove gluing axiom for sheaf hom

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