List questions from schemes

Published on 25 Mar 2026 - 6:11

714

Views

Restriction of a scheme to an open subset.

Published on 22 Jul 2018 - 18:54

108

Views

How to prove $\Gamma(\mathbb{P}^n_R,\mathscr{O}_{\mathbb{P}^n_R}) = R$

Published on 23 Jul 2018 - 8:32

74

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Neighborhood of fiber contains the full pre-image of an open set

Published on 27 Jul 2018 - 3:06

63

Views

Have you seen the symbol $D(g)$ with $g\in \mathcal O_X(X)$ where $X$ is a scheme?

Published on 25 Mar 2026 - 6:13

106

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Is $\text{Conf}_n(\mathbb{A}^2)$ an affine variety?

Published on 25 Mar 2026 - 1:36

795

Views

Proposition 2.3 Hartshorne

Published on 28 Jul 2018 - 22:06

79

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How can schemes see two points associated with $y = x^2$

Published on 29 Jul 2018 - 21:09

388

Views

About the kernel of the structure map of a morphism of schemes

Published on 30 Jul 2018 - 5:23

66

Views

Can you give two closed immersions $(f,f^\sharp),(g,g^\sharp):(X,\mathcal O_X)\to (Y,\mathcal O_Y)$ such that $f=g$ but $f^\sharp\neq g^\sharp$?

Published on 30 Jul 2018 - 5:32

26

Views

What structure do patch-topology closed subsets of a scheme have?

Published on 30 Jul 2018 - 21:25

69

Views

What property implies finitely generated-ness of global sections as an algebra?

Published on 01 Aug 2018 - 17:41

83

Views

Question about meaning behind a map of schemes

Published on 25 Mar 2026 - 3:02

452

Views

Finite morphisms of schemes are closed.

Published on 03 Aug 2018 - 17:32

164

Views

Hartshorne Proposition 2.7.7

Published on 07 Aug 2018 - 11:36

List Question

Is an affine formal scheme quasi-compact?

Restriction of a scheme to an open subset.

How to prove $\Gamma(\mathbb{P}^n_R,\mathscr{O}_{\mathbb{P}^n_R}) = R$

Neighborhood of fiber contains the full pre-image of an open set

Have you seen the symbol $D(g)$ with $g\in \mathcal O_X(X)$ where $X$ is a scheme?

Is $\text{Conf}_n(\mathbb{A}^2)$ an affine variety?

Proposition 2.3 Hartshorne

How can schemes see two points associated with $y = x^2$

About the kernel of the structure map of a morphism of schemes

Can you give two closed immersions $(f,f^\sharp),(g,g^\sharp):(X,\mathcal O_X)\to (Y,\mathcal O_Y)$ such that $f=g$ but $f^\sharp\neq g^\sharp$?

What structure do patch-topology closed subsets of a scheme have?

What property implies finitely generated-ness of global sections as an algebra?

Question about meaning behind a map of schemes

Finite morphisms of schemes are closed.

Hartshorne Proposition 2.7.7

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