List questions from affine-schemes

Published on 23 Feb 2026 - 6:20

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The structure sheaf on the disjoint union of affine schemes.

Published on 31 Mar 2020 - 23:19

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Is there a scheme $X$ , $f \in \Gamma(X;\mathcal{O}_X)$ s.t. $\Gamma(X;\mathcal{O}_X)_f \to \Gamma(X_f ;\mathcal{O}_{X_f} )$ is not an equality?

Published on 04 Apr 2020 - 6:06

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Exercise 2.3.1 in Qing Liu's book

Published on 06 Apr 2020 - 12:04

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Affine charts for projective scheme

Published on 09 Apr 2020 - 9:40

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The equivalent relation of definition of Affine scheme

Published on 10 Apr 2020 - 11:15

495

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Dimension of fibers of scheme over $\mathbb{Z}$

Published on 15 Apr 2020 - 10:02

138

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restriction of affine schemes morphisms

Published on 16 Apr 2020 - 17:39

51

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Schematic fiber of $\mathbb{C}^2/\mu_2$ at $0$

Published on 17 Apr 2020 - 10:34

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A possible proof that the affine line with double origin is not affine

Published on 17 Apr 2020 - 20:25

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Why is $\bigcap_{\mathfrak{p} \in D(f)} A_\mathfrak{p} \subset A_f$?

Published on 22 Apr 2020 - 17:53

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Scheme theoretic fibers of Neile's parabola

Published on 23 Apr 2020 - 16:12

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If $Z:=\bigcap_{x\in U}U$, prove that $(Z,\mathcal{O}_X\big|_Z)\simeq (\text{Spec}(\mathcal{O}_{X,x}),\mathcal{O}_{\text{Spec}(\mathcal{O}_{X,x})})$

Published on 29 Apr 2020 - 19:34

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What is Sp(X) (Underlying topological space without scheme structure)?

Published on 30 Apr 2020 - 12:24

232

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What can we say about a restriction to a closed subset of an affine scheme?

Published on 09 May 2020 - 12:19

List Question

The Image of Diagonal Morphism $\Delta(X)$

The structure sheaf on the disjoint union of affine schemes.

Is there a scheme $X$ , $f \in \Gamma(X;\mathcal{O}_X)$ s.t. $\Gamma(X;\mathcal{O}_X)_f \to \Gamma(X_f ;\mathcal{O}_{X_f} )$ is not an equality?

Exercise 2.3.1 in Qing Liu's book

Affine charts for projective scheme

The equivalent relation of definition of Affine scheme

Dimension of fibers of scheme over $\mathbb{Z}$

restriction of affine schemes morphisms

Schematic fiber of $\mathbb{C}^2/\mu_2$ at $0$

A possible proof that the affine line with double origin is not affine

Why is $\bigcap_{\mathfrak{p} \in D(f)} A_\mathfrak{p} \subset A_f$?

Scheme theoretic fibers of Neile's parabola

If $Z:=\bigcap_{x\in U}U$, prove that $(Z,\mathcal{O}_X\big|_Z)\simeq (\text{Spec}(\mathcal{O}_{X,x}),\mathcal{O}_{\text{Spec}(\mathcal{O}_{X,x})})$

What is Sp(X) (Underlying topological space without scheme structure)?

What can we say about a restriction to a closed subset of an affine scheme?

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