Question

Clarification of a proof that the union of affine schemes is affine

score 214 · Answer 1 · 2020-02-15 17:25:36

214

Views

Clarification of a proof that the union of affine schemes is affine

Published on 15 Feb 2020 - 17:25

score 53 · Answer 2 · 2020-02-18 12:39:58

53

Views

Does the equality of map of stalks imply the equality of the map of global sections?

Published on 18 Feb 2020 - 12:39

score 56 · Answer 3 · 2020-02-21 10:04:39

56

Views

For affine schemes, is the value of the function at a prime same as the germ at that point?

Published on 21 Feb 2020 - 10:04

score 126 · Answer 4 · 2020-03-04 17:36:00

126

Views

How to prove $1$ is in a sum of two ideals related to two disjoint closed subsets of an affine scheme

Published on 04 Mar 2020 - 17:36

score 61 · Answer 5 · 2020-03-04 17:53:24

61

Views

Question about closed subsets of affine schemes

Published on 04 Mar 2020 - 17:53

score 44 · Answer 6 · 2020-03-05 07:25:45

44

Views

Why are pure ideals determined by their vanishing loci?

Published on 05 Mar 2020 - 7:25

score 224 · Answer 7 · 2026-03-25 07:46:08

224

Views

Is the preimage of the generic point of the map $\mathbb{P}^n_R \to \operatorname{Spec}R$ open?

Published on 25 Mar 2026 - 7:46

score 693 · Answer 8 · 2020-03-10 06:42:24

693

Views

Couple facts about fibers of a morphism of schemes

Published on 10 Mar 2020 - 6:42

score 150 · Answer 9 · 2020-03-11 03:29:45

150

Views

Analyzing the affine scheme Spec $K[x]_{(x)}$

Published on 11 Mar 2020 - 3:29

score 202 · Answer 10 · 2026-03-25 09:27:05

202

Views

Question about Theorem 1 Chapter II.8 from Mumford's red book

Published on 25 Mar 2026 - 9:27

score 80 · Answer 11 · 2020-03-17 20:49:33

80

Views

Question about points in the $0$ dimensional closed subset of $\operatorname{Spec}R[X_1, ..., X_n]$.

Published on 17 Mar 2020 - 20:49

score 181 · Answer 12 · 2020-03-24 16:24:26

181

Views

On a usage of generic freeness lemma (Vakil's FOAG)

Published on 24 Mar 2020 - 16:24

score 76 · Answer 13 · 2020-03-28 00:50:14

76

Views

Looking at evaluating polynomials at a point via schemes

Published on 28 Mar 2020 - 0:50

score 68 · Answer 14 · 2020-03-30 09:38:14

68

Views

Ideal of the set-theoretic difference of two closed subsets of an affine scheme

Published on 30 Mar 2020 - 9:38

score 149 · Answer 15 · 2020-03-30 19:52:36

149

Views

If $X=\text{Spec}(A)$ where $A$ is a domain, then $\mathcal{O}_X(U)=\bigcap_{p\in U}A_p$

Published on 30 Mar 2020 - 19:52

List Question

Clarification of a proof that the union of affine schemes is affine

Does the equality of map of stalks imply the equality of the map of global sections?

For affine schemes, is the value of the function at a prime same as the germ at that point?

How to prove $1$ is in a sum of two ideals related to two disjoint closed subsets of an affine scheme

Question about closed subsets of affine schemes

Why are pure ideals determined by their vanishing loci?

Is the preimage of the generic point of the map $\mathbb{P}^n_R \to \operatorname{Spec}R$ open?

Couple facts about fibers of a morphism of schemes

Analyzing the affine scheme Spec $K[x]_{(x)}$

Question about Theorem 1 Chapter II.8 from Mumford's red book

Question about points in the $0$ dimensional closed subset of $\operatorname{Spec}R[X_1, ..., X_n]$.

On a usage of generic freeness lemma (Vakil's FOAG)

Looking at evaluating polynomials at a point via schemes

Ideal of the set-theoretic difference of two closed subsets of an affine scheme

If $X=\text{Spec}(A)$ where $A$ is a domain, then $\mathcal{O}_X(U)=\bigcap_{p\in U}A_p$

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