Question

Intuition for why gluing two $\operatorname{Spec} k[\varepsilon]$ gives $\operatorname{Spec} k[\varepsilon_1, \varepsilon_2]$

score 103 · Answer 1 · 2026-03-25 20:36:06

103

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Intuition for why gluing two $\operatorname{Spec} k[\varepsilon]$ gives $\operatorname{Spec} k[\varepsilon_1, \varepsilon_2]$

Published on 25 Mar 2026 - 20:36

score 306 · Answer 2 · 2026-03-27 22:05:05

306

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What is a constant morphism of schemes

Published on 27 Mar 2026 - 22:05

score 1.7k · Answer 3 · 2026-03-25 06:00:09

1.7k

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Precise general statement of flat morphisms being "equidimensional"

Published on 25 Mar 2026 - 6:00

score 103 · Answer 4 · 2026-03-25 07:55:30

103

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$\mathbb{A}^2_{\mathbb{Z}} \backslash \{(0,0)\}$ represents a functor & a beautiful glueing story

Published on 25 Mar 2026 - 7:55

score 135 · Answer 5 · 2026-03-27 22:03:18

135

Views

Reduced schemes from schemes

Published on 27 Mar 2026 - 22:03

score 123 · Answer 6 · 2026-03-25 16:08:16

123

Views

Can a non-affine scheme admit an fpqc covering by an affine scheme?

Published on 25 Mar 2026 - 16:08

score 575 · Answer 7 · 2026-03-25 16:03:29

575

Views

Vanishing of Sheaf cohomology over (affine ) schemes

Published on 25 Mar 2026 - 16:03

score 50 · Answer 8 · 2026-03-27 23:47:48

50

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Equivalent definitions of $\mathcal{O}_X$ module of finite type

Published on 27 Mar 2026 - 23:47

score 84 · Answer 9 · 2026-03-25 16:02:55

84

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Mumford's Geometric Invariant Theory proof of proposition 0.1

Published on 25 Mar 2026 - 16:02

score 366 · Answer 10 · 2019-09-26 00:08:04

366

Views

Relation between dualizing complex and cotangent complex

Published on 26 Sep 2019 - 0:08

score 218 · Answer 11 · 2026-03-25 12:54:47

218

Views

Lemma of dévissage from Mumford's AGII

Published on 25 Mar 2026 - 12:54

score 154 · Answer 12 · 2019-09-28 14:09:48

154

Views

How to reduce the morphism of schemes to affine case.

Published on 28 Sep 2019 - 14:09

score 55 · Answer 13 · 2019-09-30 20:23:29

55

Views

construct a irreducible subscheme of reducible scheme with funny property

Published on 30 Sep 2019 - 20:23

score 212 · Answer 14 · 2026-03-25 06:29:23

212

Views

Example of an additive map $\mathcal{O}_X \to \mathcal{O}_X$ that is not a differential operator on a Scheme $X$.

Published on 25 Mar 2026 - 6:29

score 194 · Answer 15 · 2026-03-25 19:05:28

194

Views

Tangent and cotangent spaces of varieties over a field

Published on 25 Mar 2026 - 19:05

List Question

Intuition for why gluing two $\operatorname{Spec} k[\varepsilon]$ gives $\operatorname{Spec} k[\varepsilon_1, \varepsilon_2]$

What is a constant morphism of schemes

Precise general statement of flat morphisms being "equidimensional"

$\mathbb{A}^2_{\mathbb{Z}} \backslash \{(0,0)\}$ represents a functor & a beautiful glueing story

Reduced schemes from schemes

Can a non-affine scheme admit an fpqc covering by an affine scheme?

Vanishing of Sheaf cohomology over (affine ) schemes

Equivalent definitions of $\mathcal{O}_X$ module of finite type

Mumford's Geometric Invariant Theory proof of proposition 0.1

Relation between dualizing complex and cotangent complex

Lemma of dévissage from Mumford's AGII

How to reduce the morphism of schemes to affine case.

construct a irreducible subscheme of reducible scheme with funny property

Example of an additive map $\mathcal{O}_X \to \mathcal{O}_X$ that is not a differential operator on a Scheme $X$.

Tangent and cotangent spaces of varieties over a field

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