Question

The open affine subsets of an algebraic variety $X$ form an open base for the topology of $X$

score 578 · Answer 1 · 2026-03-25 09:43:09

578

Views

The open affine subsets of an algebraic variety $X$ form an open base for the topology of $X$

Published on 25 Mar 2026 - 9:43

score 71 · Answer 2 · 2019-02-23 10:26:11

71

Views

A question about induced homomorphism

Published on 23 Feb 2019 - 10:26

score 155 · Answer 3 · 2026-03-25 07:46:02

155

Views

On minimal elements, w.r.t. inclusion, of non-empty subset of prime ideals of commutative rings

Published on 25 Mar 2026 - 7:46

score 96 · Answer 4 · 2019-03-15 05:31:20

96

Views

Is the set of matrices that has an eigenvector orthogonal to a fixed vector Zariski closed?

Published on 15 Mar 2019 - 5:31

score 84 · Answer 5 · 2019-03-19 17:16:52

84

Views

Describe explicitly $\text{spec}(\mathbb{R}[x])$ and $\text{spec}(\mathbb{C}[x])$

Published on 19 Mar 2019 - 17:16

score 481 · Answer 6 · 2019-04-13 11:17:03

481

Views

What is the difference between using maximal ideals to define Zariski topology versus using prime ideals?

Published on 13 Apr 2019 - 11:17

score 75 · Answer 7 · 2019-04-15 07:48:21

75

Views

Prove that $\overline {B^*} = B.$

Published on 15 Apr 2019 - 7:48

score 58 · Answer 8 · 2019-04-28 11:46:23

58

Views

Zariski topology: closed set of $\mathbb{A}_F^1$ that contains $\mathbb{Z}$ equals $\mathbb{A}_F^1$

Published on 28 Apr 2019 - 11:46

score 473 · Answer 9 · 2019-04-29 15:10:53

473

Views

Does the zero set of a real-analytic function in several variables form a subvariety?

Published on 29 Apr 2019 - 15:10

score 323 · Answer 10 · 2019-05-01 15:12:42

323

Views

Question about topology on the product of affine spaces (question related to variety being complete)

Published on 01 May 2019 - 15:12

score 107 · Answer 11 · 2019-05-17 02:28:10

107

Views

Is every point in the spectrum of a ring $R$ closed?

Published on 17 May 2019 - 2:28

score 166 · Answer 12 · 2019-06-14 17:35:41

166

Views

Going from varieties to schemes

Published on 14 Jun 2019 - 17:35

score 123 · Answer 13 · 2019-06-24 21:16:41

123

Views

Seeing if an arbitrary subring or set is dense in the Zariski topology

Published on 24 Jun 2019 - 21:16

score 64 · Answer 14 · 2019-07-07 19:49:57

64

Views

If $R_P$ is reduced, is there a Zariski basic open set $D(f)$ containing $P$ such that $R_f$ is also reduced?

Published on 07 Jul 2019 - 19:49

score 240 · Answer 15 · 2019-08-01 16:04:18

240

Views

Zariski-closure of finite linear groups

Published on 01 Aug 2019 - 16:04

List Question

The open affine subsets of an algebraic variety $X$ form an open base for the topology of $X$

A question about induced homomorphism

On minimal elements, w.r.t. inclusion, of non-empty subset of prime ideals of commutative rings

Is the set of matrices that has an eigenvector orthogonal to a fixed vector Zariski closed?

Describe explicitly $\text{spec}(\mathbb{R}[x])$ and $\text{spec}(\mathbb{C}[x])$

What is the difference between using maximal ideals to define Zariski topology versus using prime ideals?

Prove that $\overline {B^*} = B.$

Zariski topology: closed set of $\mathbb{A}_F^1$ that contains $\mathbb{Z}$ equals $\mathbb{A}_F^1$

Does the zero set of a real-analytic function in several variables form a subvariety?

Question about topology on the product of affine spaces (question related to variety being complete)

Is every point in the spectrum of a ring $R$ closed?

Going from varieties to schemes

Seeing if an arbitrary subring or set is dense in the Zariski topology

If $R_P$ is reduced, is there a Zariski basic open set $D(f)$ containing $P$ such that $R_f$ is also reduced?

Zariski-closure of finite linear groups

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