List questions from sheaf-theory

Published on 22 Mar 2026 - 3:23

73

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Why do the finitely generated subsheaves of a sheaf form a directed system?

Published on 23 Mar 2026 - 2:29

334

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Semi-stable locally free sheaves on a curve of constant slope form an abelian category

Published on 20 Mar 2026 - 0:14

9.7k

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What is an intuitive Geometrical explanation of a "sheaf?"

Published on 22 Mar 2026 - 14:13

140

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Poincare-Euler characteristic and sum of two divisors

Published on 20 Mar 2026 - 4:17

364

Views

Why is every sheaf of $\mathcal{O}_{X}$-modules not generated by global sections?

Published on 22 Mar 2026 - 23:13

328

Views

Does the inverse image sheaf functor has a left adjoint?

Published on 23 Mar 2026 - 4:59

651

Views

Proving constant sheaf is truly a sheaf

Published on 13 Feb 2018 - 5:14

63

Views

Does the scheme-theoretic definition of a manifold include Hausdorffness and second-countability?

Published on 23 Mar 2026 - 8:33

48

Views

Conditions on $\mathcal{F}$ such that $\chi(\mathcal{F}) = 0$ for a coherent sheaf on a curve over $k$.

Published on 19 Mar 2026 - 23:27

822

Views

Vector field on a smooth variety

Published on 23 Mar 2026 - 13:41

76

Views

Can 2 different coverages on the same category yield the same sheaf topos?

Published on 22 Mar 2026 - 14:54

232

Views

Purpose of the anchor map, Lie algebroid

Published on 22 Mar 2026 - 9:08

423

Views

A Presheaf satisfying a sort of Unique Gluing axiom is a Sheaf ?

Published on 17 Feb 2018 - 19:19

96

Views

Meaning of $f$ being a function on $\text{Spec}(A)$

Published on 23 Mar 2026 - 0:26

List Question

Is the cohomology of a stalk the same as the stalk of the cohomology sheaf?

Why do the finitely generated subsheaves of a sheaf form a directed system?

Semi-stable locally free sheaves on a curve of constant slope form an abelian category

What is an intuitive Geometrical explanation of a "sheaf?"

Poincare-Euler characteristic and sum of two divisors

Why is every sheaf of $\mathcal{O}_{X}$-modules not generated by global sections?

Does the inverse image sheaf functor has a left adjoint?

Proving constant sheaf is truly a sheaf

Does the scheme-theoretic definition of a manifold include Hausdorffness and second-countability?

Conditions on $\mathcal{F}$ such that $\chi(\mathcal{F}) = 0$ for a coherent sheaf on a curve over $k$.

Vector field on a smooth variety

Can 2 different coverages on the same category yield the same sheaf topos?

Purpose of the anchor map, Lie algebroid

A Presheaf satisfying a sort of Unique Gluing axiom is a Sheaf ?

Meaning of $f$ being a function on $\text{Spec}(A)$

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