List questions from sheaf-theory

Published on 04 Mar 2021 - 19:38

32

Views

Image of a morphism of sheaves of vector spaces is a sheaf: what are the restriction maps?

Published on 05 Mar 2021 - 10:43

61

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Canonical vector space structure on stalk of a presheaf of vector spaces

Published on 05 Mar 2021 - 12:10

236

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Generically global generated vector bundles of rank $2$ on surfaces

Published on 06 Mar 2021 - 6:48

46

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Exactness of a pairing and the trace morphism

Published on 28 Mar 2026 - 13:40

369

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Intuition of Algebraic Partition of Unity

Published on 26 Mar 2026 - 17:46

392

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Pullback of constant sheaf of abelian groups is isomorphic to another constant sheaf

Published on 08 Mar 2021 - 7:33

263

Views

Structure of vector bundles over $(\mathbb P^1)^r$

Published on 02 Apr 2026 - 13:22

61

Views

Are the stalks of $U \mapsto \prod_{z \in U} I_z$ exactly $I_x$?

Published on 09 Mar 2021 - 19:38

261

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Question about locally free sheaf in terms of stalk (Hartshorne exercise)

Published on 10 Mar 2021 - 16:56

99

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Reference for things "locally looking like" objects in a site?

Published on 25 Mar 2026 - 17:26

339

Views

Sheaf of sections of a covering space is locally constant

Published on 12 Mar 2021 - 12:11

83

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Values of a sheaf on the etale covers of an affine space.

Published on 27 Mar 2026 - 8:16

60

Views

Are group operation continuous on the étale space of a presheaf of abelian groups?

Published on 15 Mar 2021 - 11:43

131

Views

Proving a sheaf is not locally free

Published on 27 Mar 2026 - 2:02

List Question

Is the zero locus of a sheaf homomorphism closed subscheme?

Image of a morphism of sheaves of vector spaces is a sheaf: what are the restriction maps?

Canonical vector space structure on stalk of a presheaf of vector spaces

Generically global generated vector bundles of rank $2$ on surfaces

Exactness of a pairing and the trace morphism

Intuition of Algebraic Partition of Unity

Pullback of constant sheaf of abelian groups is isomorphic to another constant sheaf

Structure of vector bundles over $(\mathbb P^1)^r$

Are the stalks of $U \mapsto \prod_{z \in U} I_z$ exactly $I_x$?

Question about locally free sheaf in terms of stalk (Hartshorne exercise)

Reference for things "locally looking like" objects in a site?

Sheaf of sections of a covering space is locally constant

Values of a sheaf on the etale covers of an affine space.

Are group operation continuous on the étale space of a presheaf of abelian groups?

Proving a sheaf is not locally free

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