Question

If $X=Spec(R)$ and $Y=Spec(S)$ are affine schemes, then the disjoint union $X \sqcup Y$ is an affime scheme with $X \sqcup Y = Spec(R \times S)$

score 401 · Answer 1 · 2026-03-27 04:58:52

401

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If $X=Spec(R)$ and $Y=Spec(S)$ are affine schemes, then the disjoint union $X \sqcup Y$ is an affime scheme with $X \sqcup Y = Spec(R \times S)$

Published on 27 Mar 2026 - 4:58

score 152 · Answer 2 · 2026-03-27 05:05:53

152

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Show that $\mathbb{A}_\mathbb{C}^2 \ncong \mathbb{A}_\mathbb{C}^1 \times_{Spec(\mathbb{Z})} \mathbb{A}_\mathbb{C}^1$

Published on 27 Mar 2026 - 5:05

score 240 · Answer 3 · 2015-05-20 19:02:52

240

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Published on 20 May 2015 - 19:02

score 3.9k · Answer 4 · 2015-05-21 03:34:31

3.9k

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Published on 21 May 2015 - 3:34

score 68 · Answer 5 · 2026-04-02 01:21:37

68

Views

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Published on 02 Apr 2026 - 1:21

score 355 · Answer 6 · 2015-05-22 12:57:11

355

Views

Example 2.3.4 in Hartshorne algebraic geometry

Published on 22 May 2015 - 12:57

score 195 · Answer 7 · 2015-05-23 12:29:54

195

Views

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score 1.6k · Answer 8 · 2015-05-23 12:35:14

1.6k

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score 136 · Answer 9 · 2026-03-26 04:52:05

136

Views

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score 562 · Answer 10 · 2026-03-25 15:54:29

562

Views

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Published on 25 Mar 2026 - 15:54

score 1.2k · Answer 11 · 2026-03-27 04:56:50

1.2k

Views

Closed subscheme of an affine scheme.

Published on 27 Mar 2026 - 4:56

score 3.7k · Answer 12 · 2015-06-01 15:38:36

3.7k

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Published on 01 Jun 2015 - 15:38

score 127 · Answer 13 · 2015-06-01 16:57:21

127

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Published on 01 Jun 2015 - 16:57

score 710 · Answer 14 · 2015-06-01 18:09:46

710

Views

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Published on 01 Jun 2015 - 18:09

score 75 · Answer 15 · 2015-06-04 03:38:03

75

Views

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Published on 04 Jun 2015 - 3:38

List Question

If $X=Spec(R)$ and $Y=Spec(S)$ are affine schemes, then the disjoint union $X \sqcup Y$ is an affime scheme with $X \sqcup Y = Spec(R \times S)$

Show that $\mathbb{A}_\mathbb{C}^2 \ncong \mathbb{A}_\mathbb{C}^1 \times_{Spec(\mathbb{Z})} \mathbb{A}_\mathbb{C}^1$

Finite covering by finitely generated B-algebras

definition of singular locus of a variety

Classifying all $E$-torsors up to isomorphism?

Example 2.3.4 in Hartshorne algebraic geometry

$\overline{\mathbb{Q}}$-valued points of a $\mathbb{C}$-scheme

Quick question: could someone clarify me the notion of "$k$-points" of a scheme?

Determining a scheme $X$ is affine from $Qcoh(X)$

Computing the cotangent complex: what's the ring?

Closed subscheme of an affine scheme.

Hartshorne generically finite morphisms (II, 3.7)

Confusion about affine schemes

Two definitions of coherent sheaf

Kodaira dimensions

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