Question

Étale cohomology vs flat cohomology

score 253 · Answer 1 · 2026-03-27 08:16:36

253

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Étale cohomology vs flat cohomology

Published on 27 Mar 2026 - 8:16

score 80 · Answer 2 · 2026-03-25 17:26:52

80

Views

Meaning of certain cohomology classes and morphisms in Prop 3.3 of Deligne-Illusie's paper on mod $p^2$ liftings and decompos. of the de Rham complex

Published on 25 Mar 2026 - 17:26

score 113 · Answer 3 · 2021-03-22 09:35:50

113

Views

Vanishing of the Zariski cohomology $H^n(X,\mathbb{Z}[\mathbb{G}_m])$ for $n>1$

Published on 22 Mar 2021 - 9:35

score 56 · Answer 4 · 2026-03-27 02:01:25

56

Views

If $D$ is nef, then $h^1(D)=h^2(D)=0$

Published on 27 Mar 2026 - 2:01

score 214 · Answer 5 · 2021-03-26 20:12:02

214

Views

Question about the construction of Godement Resolution and flabby sheaves being acyclic

Published on 26 Mar 2021 - 20:12

score 463 · Answer 6 · 2021-03-27 01:42:57

463

Views

Global sections and Fiber products $X \times_S \operatorname{Spec} k$

Published on 27 Mar 2021 - 1:42

score 100 · Answer 7 · 2021-03-30 01:34:13

100

Views

Simple proofs of $H^1(X, \mathcal{O}^*)=0$ when $X$ is an open Riemann Surface

Published on 30 Mar 2021 - 1:34

score 477 · Answer 8 · 2021-03-31 06:53:42

477

Views

Why are line bundles called principal $\mathbb G_m$-bundle?

Published on 31 Mar 2021 - 6:53

score 58 · Answer 9 · 2021-03-31 12:21:11

58

Views

Relationship between sheaf cohomology and $H^n(F)$

Published on 31 Mar 2021 - 12:21

score 108 · Answer 10 · 2021-04-02 18:58:00

108

Views

Castelnuovo-Mumford regularity and a short exact sequence

Published on 02 Apr 2021 - 18:58

score 130 · Answer 11 · 2026-03-26 23:10:42

130

Views

Contradiction with "cohomology group of coherent sheaf of module on projective scheme over field is finite dimensional"

Published on 26 Mar 2026 - 23:10

score 471 · Answer 12 · 2026-03-26 21:27:33

471

Views

Cohomology of external tensor product of sheaves

Published on 26 Mar 2026 - 21:27

score 33 · Answer 13 · 2026-03-26 21:26:13

33

Views

Semi-continuity theorem and construction of Hilbert and Quot schemes

Published on 26 Mar 2026 - 21:26

score 121 · Answer 14 · 2021-04-12 14:36:40

121

Views

Injective map between sheaf cohomologies

Published on 12 Apr 2021 - 14:36

score 37 · Answer 15 · 2021-04-12 19:58:03

37

Views

Construction of Quot schemes and construction of certain closed subschemes

Published on 12 Apr 2021 - 19:58

List Question

Étale cohomology vs flat cohomology

Meaning of certain cohomology classes and morphisms in Prop 3.3 of Deligne-Illusie's paper on mod $p^2$ liftings and decompos. of the de Rham complex

Vanishing of the Zariski cohomology $H^n(X,\mathbb{Z}[\mathbb{G}_m])$ for $n>1$

If $D$ is nef, then $h^1(D)=h^2(D)=0$

Question about the construction of Godement Resolution and flabby sheaves being acyclic

Global sections and Fiber products $X \times_S \operatorname{Spec} k$

Simple proofs of $H^1(X, \mathcal{O}^*)=0$ when $X$ is an open Riemann Surface

Why are line bundles called principal $\mathbb G_m$-bundle?

Relationship between sheaf cohomology and $H^n(F)$

Castelnuovo-Mumford regularity and a short exact sequence

Contradiction with "cohomology group of coherent sheaf of module on projective scheme over field is finite dimensional"

Cohomology of external tensor product of sheaves

Semi-continuity theorem and construction of Hilbert and Quot schemes

Injective map between sheaf cohomologies

Construction of Quot schemes and construction of certain closed subschemes

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