Question

What properties single out $ \operatorname{Spec}(\mathbb{k}) $-schemes that are quasi-projective varieties over $ \mathbb{k} $?

score 96 · Answer 1 · 2026-02-23 10:50:37

96

Views

What properties single out $ \operatorname{Spec}(\mathbb{k}) $-schemes that are quasi-projective varieties over $ \mathbb{k} $?

Published on 23 Feb 2026 - 10:50

score 301 · Answer 2 · 2026-02-23 10:47:56

301

Views

Open vs Closed Immersions of Locally Ringed Spaces

Published on 23 Feb 2026 - 10:47

score 328 · Answer 3 · 2026-02-23 10:49:43

328

Views

What is the stalk at a point of the quotient of a scheme?

Published on 23 Feb 2026 - 10:49

score 34 · Answer 4 · 2026-02-23 10:41:49

34

Views

Orientability of Ringed Space

Published on 23 Feb 2026 - 10:41

score 131 · Answer 5 · 2026-02-23 10:43:43

131

Views

Is a nonzero divisor locally nonzero divisor?

Published on 23 Feb 2026 - 10:43

score 3k · Answer 6 · 2026-02-23 10:46:13

3k

Views

Hartshorne's Exercise II.5.1 - Projection formula

Published on 23 Feb 2026 - 10:46

score 1.9k · Answer 7 · 2026-02-23 10:51:23

1.9k

Views

On a ringed space, show that the non vanishing set of $f$ is open, and that it is invertible there

Published on 23 Feb 2026 - 10:51

score 136 · Answer 8 · 2026-02-23 10:50:36

136

Views

What is the restriction of a locally ringed space to an open subset U?

Published on 23 Feb 2026 - 10:50

score 2.2k · Answer 9 · 2026-02-23 10:49:02

2.2k

Views

Details of gluing sheaves on a cover

Published on 23 Feb 2026 - 10:49

score 450 · Answer 10 · 2026-02-23 10:51:23

450

Views

Is there a notion of "schemeification" analogous to that of sheafification of a presheaf?

Published on 23 Feb 2026 - 10:51

score 44 · Answer 11 · 2026-02-23 10:51:54

44

Views

Why is the group of sections of a sheaf of modules given by the group of morphisms of sheaves?

Published on 23 Feb 2026 - 10:51

score 367 · Answer 12 · 2026-02-23 10:45:14

367

Views

introducing locally ringed space definition necessary at all?

Published on 23 Feb 2026 - 10:45

score 74 · Answer 13 · 2026-02-23 10:45:14

74

Views

Product of two analytic spaces

Published on 23 Feb 2026 - 10:45

score 249 · Answer 14 · 2026-02-23 10:49:44

249

Views

Trying to understand vector bundles on manifolds via locally free sheaves

Published on 23 Feb 2026 - 10:49

score 247 · Answer 15 · 2026-02-23 10:49:50

247

Views

Relation between $\mathcal{O}_Y\rightarrow f_*\mathcal{O}_{X}$ and $f^{-1}\mathcal{O}_Y\rightarrow \mathcal{O}_X$ being epimorphism/monomorphism.

Published on 23 Feb 2026 - 10:49

List Question

What properties single out $ \operatorname{Spec}(\mathbb{k}) $-schemes that are quasi-projective varieties over $ \mathbb{k} $?

Open vs Closed Immersions of Locally Ringed Spaces

What is the stalk at a point of the quotient of a scheme?

Orientability of Ringed Space

Is a nonzero divisor locally nonzero divisor?

Hartshorne's Exercise II.5.1 - Projection formula

On a ringed space, show that the non vanishing set of $f$ is open, and that it is invertible there

What is the restriction of a locally ringed space to an open subset U?

Details of gluing sheaves on a cover

Is there a notion of "schemeification" analogous to that of sheafification of a presheaf?

Why is the group of sections of a sheaf of modules given by the group of morphisms of sheaves?

introducing locally ringed space definition necessary at all?

Product of two analytic spaces

Trying to understand vector bundles on manifolds via locally free sheaves

Relation between $\mathcal{O}_Y\rightarrow f_*\mathcal{O}_{X}$ and $f^{-1}\mathcal{O}_Y\rightarrow \mathcal{O}_X$ being epimorphism/monomorphism.

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