List questions from sheaf-theory

Published on 28 Mar 2026 - 15:01

32

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$\mathrm{ch}_0$'s of filtration objects of $F \in D^b(X)$

Published on 26 Mar 2026 - 17:53

657

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Definition of torsion free sheaves

Published on 30 Aug 2020 - 1:26

52

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What is meant by $X\setminus V(s)$, for $s$ a global section?

Published on 30 Aug 2020 - 13:59

189

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Some applications of sheaf theory

Published on 01 Sep 2020 - 17:26

70

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Chern characters of elements in a complex, from Chern character of the complex and Chern characters of kernels and cokernels of the complex

Published on 06 Apr 2026 - 14:21

240

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How can I calculate the cohomology of this extension-by-zero sheaf?

Published on 28 Mar 2026 - 8:40

45

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Is every vector bundle morphism uniquely given by a morphism on its sheaf of sections?

Published on 06 Apr 2026 - 14:17

85

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kernel of certain sheaf morphisms

Published on 03 Sep 2020 - 6:30

278

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Some Questions about the Lemma of Coherent Sheaf (Hartshorne' II.5.3a)

Published on 04 Sep 2020 - 17:49

165

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$\operatorname{Hom}(Z/nZ, μ_n)$ is isomorphic to $μ_n$ as etale sheaf?

Published on 25 Mar 2026 - 17:20

426

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Some Examples of Sheaves on Varieties (Hartshorne's Exercise II.1.21)

Published on 26 Mar 2026 - 6:21

104

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De Rham theorem: Sheaf theoretic proof / constructive proof

Published on 28 Mar 2026 - 13:32

50

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Explicit map between $\check{H}^1(M,\underline{\mathbb{R}})$ and $H^1(M,\mathbb{R})$

Published on 10 Sep 2020 - 14:35

274

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What are the restriction maps of the inverse image presheaf?

Published on 11 Sep 2020 - 9:20

List Question

Injective map and surjective map between inductive limits

$\mathrm{ch}_0$'s of filtration objects of $F \in D^b(X)$

Definition of torsion free sheaves

What is meant by $X\setminus V(s)$, for $s$ a global section?

Some applications of sheaf theory

Chern characters of elements in a complex, from Chern character of the complex and Chern characters of kernels and cokernels of the complex

How can I calculate the cohomology of this extension-by-zero sheaf?

Is every vector bundle morphism uniquely given by a morphism on its sheaf of sections?

kernel of certain sheaf morphisms

Some Questions about the Lemma of Coherent Sheaf (Hartshorne' II.5.3a)

$\operatorname{Hom}(Z/nZ, μ_n)$ is isomorphic to $μ_n$ as etale sheaf?

Some Examples of Sheaves on Varieties (Hartshorne's Exercise II.1.21)

De Rham theorem: Sheaf theoretic proof / constructive proof

Explicit map between $\check{H}^1(M,\underline{\mathbb{R}})$ and $H^1(M,\mathbb{R})$

What are the restriction maps of the inverse image presheaf?

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