Question

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

score 579 · Answer 1 · 2026-05-10 19:25:24

579

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

Published on 10 May 2026 - 19:25

score 72 · Answer 2 · 2026-03-25 12:22:30

72

Views

A question about induced homomorphism

Published on 25 Mar 2026 - 12:22

score 156 · Answer 3 · 2026-05-10 14:49:23

156

Views

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

Published on 10 May 2026 - 14:49

score 99 · Answer 4 · 2026-04-14 06:41:41

99

Views

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

Published on 14 Apr 2026 - 6:41

score 87 · Answer 5 · 2026-04-15 03:30:18

87

Views

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

Published on 15 Apr 2026 - 3:30

score 484 · Answer 6 · 2026-04-09 11:42:09

484

Views

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

Published on 09 Apr 2026 - 11:42

score 79 · Answer 7 · 2026-04-14 23:32:59

79

Views

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

Published on 14 Apr 2026 - 23:32

score 61 · Answer 8 · 2026-04-12 18:20:35

61

Views

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

Published on 12 Apr 2026 - 18:20

score 476 · Answer 9 · 2026-04-15 22:06:00

476

Views

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

Published on 15 Apr 2026 - 22:06

score 326 · Answer 10 · 2026-04-14 03:05:22

326

Views

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

Published on 14 Apr 2026 - 3:05

score 110 · Answer 11 · 2026-04-14 12:12:39

110

Views

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

Published on 14 Apr 2026 - 12:12

score 170 · Answer 12 · 2026-04-09 17:27:47

170

Views

Going from varieties to schemes

Published on 09 Apr 2026 - 17:27

score 125 · Answer 13 · 2026-04-13 16:19:17

125

Views

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

Published on 13 Apr 2026 - 16:19

score 67 · Answer 14 · 2026-04-15 21:59:49

67

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 15 Apr 2026 - 21:59

score 243 · Answer 15 · 2026-04-12 10:49:50

243

Views

Zariski-closure of finite linear groups

Published on 12 Apr 2026 - 10:49

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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