List questions from coherent-sheaves

Published on 19 Jun 2021 - 10:31

124

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Is a pure coherent sheaf locally pure?

Published on 21 Jun 2021 - 14:55

66

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If $Z = \operatorname{Supp}\mathscr{F}$ and $\mathscr{I}$ is the sheaf of ideals defined by $Z,$ is it true that $\mathscr{I}\mathscr{F} = 0?$

Published on 22 Jun 2021 - 13:41

63

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Computing $\chi(I_{L_1},I_{L_2})$ on cubic threefold, where $I_{L_i}$ is the ideal sheaf of a line $L_i$

Published on 24 Jun 2021 - 3:46

763

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Coherent Sheaves on Smooth Curves

Published on 26 Jun 2021 - 17:40

245

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Hartshorne Proposition II.7.13a

Published on 26 Mar 2026 - 14:20

634

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Invertible sheaf on a scheme is coherent

Published on 22 Jul 2021 - 4:05

336

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Chern character of a coherent sheaf over a projective manifold

Published on 26 Jul 2021 - 18:34

36

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Linear fiber space of ideal sheaf and normal fiber space

Published on 14 Aug 2021 - 8:58

40

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Explicit correpsondence between ${\cal O}_{{\Bbb P}_k^1}(1) = {\cal O}_{{\Bbb P}_k^1}(x)$.

Published on 26 Mar 2026 - 3:12

57

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What is the minimal number of generators for $\mathcal{O}_{\mathbb{P}^n}(1)$?

Published on 07 Sep 2021 - 8:28

63

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Derived category supported in a Serre subcategory of a locally noetherian category

Published on 16 Sep 2021 - 4:47

79

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Algebraic Geometry notation of poles

Published on 22 Sep 2021 - 7:17

194

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Dual of universal quotient bundle globally generated

Published on 01 Oct 2021 - 15:35

153

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Very Ample sheaves

Published on 26 Mar 2026 - 17:29

List Question

Show that different notions of projectivity are distinct

Is a pure coherent sheaf locally pure?

If $Z = \operatorname{Supp}\mathscr{F}$ and $\mathscr{I}$ is the sheaf of ideals defined by $Z,$ is it true that $\mathscr{I}\mathscr{F} = 0?$

Computing $\chi(I_{L_1},I_{L_2})$ on cubic threefold, where $I_{L_i}$ is the ideal sheaf of a line $L_i$

Coherent Sheaves on Smooth Curves

Hartshorne Proposition II.7.13a

Invertible sheaf on a scheme is coherent

Chern character of a coherent sheaf over a projective manifold

Linear fiber space of ideal sheaf and normal fiber space

Explicit correpsondence between ${\cal O}_{{\Bbb P}_k^1}(1) = {\cal O}_{{\Bbb P}_k^1}(x)$.

What is the minimal number of generators for $\mathcal{O}_{\mathbb{P}^n}(1)$?

Derived category supported in a Serre subcategory of a locally noetherian category

Algebraic Geometry notation of poles

Dual of universal quotient bundle globally generated

Very Ample sheaves

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