Question

Why is the intersection number $h^2$ equal to the degree of a vector bundle of rank 2?

score 48 · Answer 1 · 2023-04-12 19:25:50

48

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Why is the intersection number $h^2$ equal to the degree of a vector bundle of rank 2?

Published on 12 Apr 2023 - 19:25

score 110 · Answer 2 · 2026-03-25 17:32:08

110

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Explicit expression for Bockstein homomorphism in singular cohomology

Published on 25 Mar 2026 - 17:32

score 77 · Answer 3 · 2026-03-26 14:43:02

77

Views

Noetherian condition of Serre's theorem on affineness

Published on 26 Mar 2026 - 14:43

score 49 · Answer 4 · 2023-05-11 02:58:19

49

Views

For a family of extensions of sheaves, does nonsplit over generic fibre imply nonsplit over special fibre?

Published on 11 May 2023 - 2:58

score 21 · Answer 5 · 2023-05-11 08:33:01

21

Views

References on $\operatorname{Ext}$ of sheaves and base change.

Published on 11 May 2023 - 8:33

score 82 · Answer 6 · 2023-06-01 18:31:39

82

Views

Flabby sheaves are acyclic using Godement resolution

Published on 01 Jun 2023 - 18:31

score 83 · Answer 7 · 2026-03-26 11:00:15

83

Views

Stiefel-Whitney classes in Čech cohomology

Published on 26 Mar 2026 - 11:00

score 63 · Answer 8 · 2023-06-12 08:12:33

63

Views

Mumford Regularity Theorem - Lazarsfeld's proof

Published on 12 Jun 2023 - 8:12

score 70 · Answer 9 · 2026-03-25 16:08:38

70

Views

Identifying sections when computing cohomology groups $H^i(\mathbb P^2,\mathcal O(d))$ via Cech cohomology

Published on 25 Mar 2026 - 16:08

score 14 · Answer 10 · 2026-03-26 09:18:06

14

Views

Is left t-exactness of $Rf_\ast$ for $f : X\longrightarrow Y$ affine just Andreotti-Frenkel

Published on 26 Mar 2026 - 9:18

score 85 · Answer 11 · 2023-06-25 19:52:03

85

Views

Question for exercise IV.3.6 b) Hartshorne

Published on 25 Jun 2023 - 19:52

score 82 · Answer 12 · 2023-07-12 15:13:20

82

Views

What is "torsion" in the context of cohomology, and why is it important?

Published on 12 Jul 2023 - 15:13

score 125 · Answer 13 · 2026-03-25 12:54:39

125

Views

ADHM construction: why two bundles of the monad have the same ranks?

Published on 25 Mar 2026 - 12:54

score 45 · Answer 14 · 2026-03-25 12:24:01

45

Views

Sheaf cohomology free module

Published on 25 Mar 2026 - 12:24

score 24 · Answer 15 · 2026-03-26 06:32:34

24

Views

Reference for result and proof that $R(g\circ f)\cong Rg\circ Rf$ for morphisms of ringed spaces $X\xrightarrow{f}Y\xrightarrow{g}Z$

Published on 26 Mar 2026 - 6:32

List Question

Why is the intersection number $h^2$ equal to the degree of a vector bundle of rank 2?

Explicit expression for Bockstein homomorphism in singular cohomology

Noetherian condition of Serre's theorem on affineness

For a family of extensions of sheaves, does nonsplit over generic fibre imply nonsplit over special fibre?

References on $\operatorname{Ext}$ of sheaves and base change.

Flabby sheaves are acyclic using Godement resolution

Stiefel-Whitney classes in Čech cohomology

Mumford Regularity Theorem - Lazarsfeld's proof

Identifying sections when computing cohomology groups $H^i(\mathbb P^2,\mathcal O(d))$ via Cech cohomology

Is left t-exactness of $Rf_\ast$ for $f : X\longrightarrow Y$ affine just Andreotti-Frenkel

Question for exercise IV.3.6 b) Hartshorne

What is "torsion" in the context of cohomology, and why is it important?

ADHM construction: why two bundles of the monad have the same ranks?

Sheaf cohomology free module

Reference for result and proof that $R(g\circ f)\cong Rg\circ Rf$ for morphisms of ringed spaces $X\xrightarrow{f}Y\xrightarrow{g}Z$

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