List questions from sheaf-theory

Published on 24 Jul 2019 - 14:18

116

Views

When do global sections of a $\mathcal{O}_X$-Module $\mathcal{F}$ that generate $\mathcal{F}_x$ also generate $\mathcal{F}$ in a neighborhood of $x$?

Published on 24 Jul 2019 - 15:50

170

Views

Taking stalks and right derived functors of a special type of additive left exact functors

Published on 25 Mar 2026 - 11:04

220

Views

Subgroup of global sections with support contained in a closed subset

Published on 25 Mar 2026 - 16:02

447

Views

Structure sheaf of the spectrum of the integers

Published on 25 Mar 2026 - 14:34

397

Views

Different definitions of Cartier divisor and when they agree

Published on 25 Mar 2026 - 9:38

421

Views

Understand a result about sheaf of modules of finite type

Published on 29 Jul 2019 - 2:54

428

Views

Inverse/Direct Images and Sheafification

Published on 29 Jul 2019 - 4:58

145

Views

Presheaves of Functions

Published on 30 Jul 2019 - 2:35

214

Views

Pull back of twisted sheaf under a regular map associated to a base point free linear system

Published on 25 Mar 2026 - 9:38

191

Views

Very Explicit Unit/Counit of the Inverse/Direct Image Adjunction

Published on 04 Aug 2019 - 9:34

631

Views

Two confusions about torsion-free coherent sheaves

Published on 09 Aug 2019 - 22:41

347

Views

some examples of the Soft sheaves but not fine

Published on 10 Aug 2019 - 13:46

114

Views

Is the presheaf defined by $U\mapsto (\mathcal I(U))^2$ a sheaf of ideals of $\mathcal O_X$?

Published on 15 Aug 2019 - 19:38

263

Views

Exact sequence on $\mathbb{P}^3$ obtained from Euler sequence

Published on 23 Mar 2026 - 5:34

List Question

The direct image sheaf

When do global sections of a $\mathcal{O}_X$-Module $\mathcal{F}$ that generate $\mathcal{F}_x$ also generate $\mathcal{F}$ in a neighborhood of $x$?

Taking stalks and right derived functors of a special type of additive left exact functors

Subgroup of global sections with support contained in a closed subset

Structure sheaf of the spectrum of the integers

Different definitions of Cartier divisor and when they agree

Understand a result about sheaf of modules of finite type

Inverse/Direct Images and Sheafification

Presheaves of Functions

Pull back of twisted sheaf under a regular map associated to a base point free linear system

Very Explicit Unit/Counit of the Inverse/Direct Image Adjunction

Two confusions about torsion-free coherent sheaves

some examples of the Soft sheaves but not fine

Is the presheaf defined by $U\mapsto (\mathcal I(U))^2$ a sheaf of ideals of $\mathcal O_X$?

Exact sequence on $\mathbb{P}^3$ obtained from Euler sequence

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