Question

Show that $0 \longrightarrow \underline{\mathbb{Z}} \longrightarrow \mathscr{O}_X \longrightarrow \mathscr{F} \longrightarrow 0$ is exact

score 66 · Answer 1 · 2023-03-30 11:44:42

66

Views

Show that $0 \longrightarrow \underline{\mathbb{Z}} \longrightarrow \mathscr{O}_X \longrightarrow \mathscr{F} \longrightarrow 0$ is exact

Published on 30 Mar 2023 - 11:44

score 33 · Answer 2 · 2026-03-26 19:17:10

33

Views

How is this an isomorphism functorially in $F$?

Published on 26 Mar 2026 - 19:17

score 217 · Answer 3 · 2023-04-02 03:14:19

217

Views

Understanding the proof of the Springer correspondence

Published on 02 Apr 2023 - 3:14

score 225 · Answer 4 · 2023-04-04 10:30:07

225

Views

Local ring homomorphism induced by $\varphi$

Published on 04 Apr 2023 - 10:30

score 64 · Answer 5 · 2023-04-11 10:32:43

64

Views

Sheaf on $X = \mathbb{C} \setminus \{0\}$

Published on 11 Apr 2023 - 10:32

score 75 · Answer 6 · 2023-04-11 17:00:45

75

Views

relation between pushforward and pullback

Published on 11 Apr 2023 - 17:00

score 56 · Answer 7 · 2023-04-12 04:51:24

56

Views

Stuck on affine scheme

Published on 12 Apr 2023 - 4:51

score 163 · Answer 8 · 2026-02-23 05:12:23

163

Views

Is there a morphism of ringed spaces between smooth (resp., complex) manifolds that is not local?

Published on 23 Feb 2026 - 5:12

score 124 · Answer 9 · 2023-04-12 20:29:38

124

Views

Stalks as colimits

Published on 12 Apr 2023 - 20:29

score 69 · Answer 10 · 2023-04-13 07:26:28

69

Views

Finding stalks of the two point topological space

Published on 13 Apr 2023 - 7:26

score 75 · Answer 11 · 2023-04-13 10:09:15

75

Views

Doubt about sheafification

Published on 13 Apr 2023 - 10:09

score 40 · Answer 12 · 2023-04-14 21:43:12

Top. space with $3$ points and sheaves $\mathscr{F}$ and $\mathscr{G}$ such that a morphism is surjective on stalks, but the map on sections is not.

score 54 · Answer 13 · 2023-04-12 09:32:19

54

Views

Question on chapter 3.4 in Görtz & Wedhorn 's "Algebraic Geometry 1" book

Published on 12 Apr 2023 - 9:32

score 96 · Answer 14 · 2023-04-15 19:21:11

96

Views

Stalks as direct limits

Published on 15 Apr 2023 - 19:21

score 121 · Answer 15 · 2026-02-23 05:13:26

121

Views

Subvarieties of an abstract affine variety

Published on 23 Feb 2026 - 5:13

List Question

Show that $0 \longrightarrow \underline{\mathbb{Z}} \longrightarrow \mathscr{O}_X \longrightarrow \mathscr{F} \longrightarrow 0$ is exact

How is this an isomorphism functorially in $F$?

Understanding the proof of the Springer correspondence

Local ring homomorphism induced by $\varphi$

Sheaf on $X = \mathbb{C} \setminus \{0\}$

relation between pushforward and pullback

Stuck on affine scheme

Is there a morphism of ringed spaces between smooth (resp., complex) manifolds that is not local?

Stalks as colimits

Finding stalks of the two point topological space

Doubt about sheafification

Top. space with $3$ points and sheaves $\mathscr{F}$ and $\mathscr{G}$ such that a morphism is surjective on stalks, but the map on sections is not.

Question on chapter 3.4 in Görtz & Wedhorn 's "Algebraic Geometry 1" book

Stalks as direct limits

Subvarieties of an abstract affine variety

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