Question

How is the notion of adjunction of two functors usefull?

score 623 · Answer 1 · 2026-03-27 00:05:05

623

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How is the notion of adjunction of two functors usefull?

Published on 27 Mar 2026 - 0:05

score 137 · Answer 2 · 2015-04-24 23:17:05

137

Views

A computation related to Hironaka's Example

Published on 24 Apr 2015 - 23:17

score 140 · Answer 3 · 2026-04-02 18:28:22

140

Views

What is a smooth family of divisors?

Published on 02 Apr 2026 - 18:28

score 119 · Answer 4 · 2015-04-28 15:57:18

119

Views

Adjoints functors in scheme theory

Published on 28 Apr 2015 - 15:57

score 465 · Answer 5 · 2015-04-30 13:03:09

465

Views

Subscheme of projective space in general position

Published on 30 Apr 2015 - 13:03

score 1.5k · Answer 6 · 2015-04-30 23:03:40

1.5k

Views

Extending a morphism of schemes

Published on 30 Apr 2015 - 23:03

score 191 · Answer 7 · 2026-04-01 23:33:38

191

Views

Are sections of vector bundles $E\to X$ over schemes necessarily closed embeddings?

Published on 01 Apr 2026 - 23:33

score 99 · Answer 8 · 2026-04-01 23:31:55

99

Views

Confusion over common criterion for a line bundle on a scheme to be trivial?

Published on 01 Apr 2026 - 23:31

score 60 · Answer 9 · 2015-05-07 08:45:52

60

Views

For $0\to F\to E\stackrel{\varphi}{\to} L\to 0$, why is the pullback under $\varphi$ of a constant section an $F$-torsor?

Published on 07 May 2015 - 8:45

score 101 · Answer 10 · 2015-05-10 07:07:38

101

Views

Scheme whose points over $x\colon\mathrm{spec}(R)\to X$ are the isomorphisms $x^(F)$ and $x^(E)$?

Published on 10 May 2015 - 7:07

score 939 · Answer 11 · 2015-05-10 20:13:57

939

Views

Why are equivariant morphisms of $G$-torsors necessarily isomorphisms?

Published on 10 May 2015 - 20:13

score 1k · Answer 12 · 2015-05-11 17:20:50

1k

Views

Separated scheme stable under base extension.

Published on 11 May 2015 - 17:20

score 161 · Answer 13 · 2015-05-12 07:53:04

161

Views

The assignment $R\mapsto\operatorname{Iso}_{R\text{-alg}}(A\otimes_k R,M_n(R))$ is a scheme?

Published on 12 May 2015 - 7:53

score 1.3k · Answer 14 · 2026-03-26 06:21:22

1.3k

Views

What are the closed points of $\mathbb{A}_{\mathbb{R}}^2 = \operatorname{Spec}(\mathbb{R}[x,y])$?

Published on 26 Mar 2026 - 6:21

score 66 · Answer 15 · 2026-04-02 01:22:45

66

Views

Why is this scheme $Y$ an affine bundle?

Published on 02 Apr 2026 - 1:22

List Question

How is the notion of adjunction of two functors usefull?

A computation related to Hironaka's Example

What is a smooth family of divisors?

Adjoints functors in scheme theory

Subscheme of projective space in general position

Extending a morphism of schemes

Are sections of vector bundles $E\to X$ over schemes necessarily closed embeddings?

Confusion over common criterion for a line bundle on a scheme to be trivial?

For $0\to F\to E\stackrel{\varphi}{\to} L\to 0$, why is the pullback under $\varphi$ of a constant section an $F$-torsor?

Scheme whose points over $x\colon\mathrm{spec}(R)\to X$ are the isomorphisms $x^(F)$ and $x^(E)$?

Why are equivariant morphisms of $G$-torsors necessarily isomorphisms?

Separated scheme stable under base extension.

The assignment $R\mapsto\operatorname{Iso}_{R\text{-alg}}(A\otimes_k R,M_n(R))$ is a scheme?

What are the closed points of $\mathbb{A}_{\mathbb{R}}^2 = \operatorname{Spec}(\mathbb{R}[x,y])$?

Why is this scheme $Y$ an affine bundle?

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