List questions from quasicoherent-sheaves

Published on 05 Feb 2019 - 18:27

121

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A doubt on Proposition 5.1.12 of Liu's Algebraic geometry and arithmetic curves.

Published on 08 Feb 2019 - 18:47

33

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Why is it that two O_Y-modules are isomorphic if their Hom-sets to any fixed O_Y-module are always isomorphic?

Published on 17 Feb 2019 - 16:39

19

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If $Y$ is an affine scheme, and $G$ is an $O_Y$-module, then why is $\operatorname{Hom}_{\operatorname{Mod}(Y)}(O_Y, G)\cong G(Y)$?

Published on 25 Mar 2026 - 9:43

168

Views

Cech cohomology of a quasi-coherent sheaf on an affine scheme and Leray acyclicity Theorem.

Published on 25 Mar 2026 - 9:43

136

Views

Is a locally free sheaf of finite rank finitely presented?

Published on 05 Apr 2019 - 8:36

273

Views

Projective space $Proj$

Published on 25 Mar 2026 - 2:56

83

Views

Left Exactness of global sections functor over quasi compact sheaves

Published on 12 May 2019 - 23:44

294

Views

Questions about Hartshorne Proposition II.5.9

Published on 14 May 2019 - 9:38

46

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Broad question on morphisms of stalks of quasi-coherent sheaves on schemes

Published on 25 Mar 2026 - 9:39

102

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Local behavior of sheaf of ideals given by a closed immersion

Published on 17 May 2019 - 1:36

105

Views

Finite Morphism between Regular Curves induces Category Equivalence

Published on 24 Mar 2026 - 21:03

648

Views

About Hom and global section functor for $O_X$ modules

Published on 04 Jun 2019 - 21:27

364

Views

What is the correct definition of the inverse image functor on sheaves of modules?

Published on 15 Jun 2019 - 3:25

68

Views

Relating the sheaf associated to a cyclic module over an affine scheme to the structure sheaf

Published on 25 Mar 2026 - 9:37

List Question

Relative Spec (the structure map)

A doubt on Proposition 5.1.12 of Liu's Algebraic geometry and arithmetic curves.

Why is it that two O_Y-modules are isomorphic if their Hom-sets to any fixed O_Y-module are always isomorphic?

If $Y$ is an affine scheme, and $G$ is an $O_Y$-module, then why is $\operatorname{Hom}_{\operatorname{Mod}(Y)}(O_Y, G)\cong G(Y)$?

Cech cohomology of a quasi-coherent sheaf on an affine scheme and Leray acyclicity Theorem.

Is a locally free sheaf of finite rank finitely presented?

Projective space $Proj$

Left Exactness of global sections functor over quasi compact sheaves

Questions about Hartshorne Proposition II.5.9

Broad question on morphisms of stalks of quasi-coherent sheaves on schemes

Local behavior of sheaf of ideals given by a closed immersion

Finite Morphism between Regular Curves induces Category Equivalence

About Hom and global section functor for $O_X$ modules

What is the correct definition of the inverse image functor on sheaves of modules?

Relating the sheaf associated to a cyclic module over an affine scheme to the structure sheaf

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