Question

Ideals contained in a field not algebraically closed are not comaximal

score 27 · Answer 1 · 2021-10-27 04:03:23

27

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Ideals contained in a field not algebraically closed are not comaximal

Published on 27 Oct 2021 - 4:03

score 59 · Answer 2 · 2021-10-31 01:42:14

59

Views

Projections between two affine algebraic sets

Published on 31 Oct 2021 - 1:42

score 82 · Answer 3 · 2021-11-01 04:51:05

82

Views

The multiplication map $\mathrm{GL}(n,k)\times\mathrm{GL}(n,k)\to\mathrm{GL}(n,k)$ such that $A\times B\mapsto AB$ is a morphism.

Published on 01 Nov 2021 - 4:51

score 129 · Answer 4 · 2021-11-01 05:51:39

129

Views

Show that the projections $\mathbb{A}^2\to\mathbb{A}^1$ are morphisms

Published on 01 Nov 2021 - 5:51

score 599 · Answer 5 · 2026-03-26 16:05:23

599

Views

Morphism between a projective and an affine varieties has finitely many points in its image

Published on 26 Mar 2026 - 16:05

score 238 · Answer 6 · 2021-11-19 04:17:34

238

Views

What schemes correspond to varieties in the sense of Weil?

Published on 19 Nov 2021 - 4:17

score 116 · Answer 7 · 2021-11-20 03:55:47

116

Views

Rational functions on an affine variety are completely determined by their values where they are defined

Published on 20 Nov 2021 - 3:55

score 74 · Answer 8 · 2021-11-24 00:11:54

74

Views

Demonstrating how to turn the affine plane into a double-cone with a sheet of paper, is it possible?

Published on 24 Nov 2021 - 0:11

score 53 · Answer 9 · 2021-11-28 17:19:29

53

Views

How to show that a function is not a regular map?

Published on 28 Nov 2021 - 17:19

score 271 · Answer 10 · 2021-12-04 14:08:18

271

Views

Theorem 3.2, Chapter 1, of Hartshorne's Algebraic Geometry

Published on 04 Dec 2021 - 14:08

score 30 · Answer 11 · 2026-03-26 17:51:54

30

Views

Globalisation of varieties

Published on 26 Mar 2026 - 17:51

score 262 · Answer 12 · 2026-03-26 13:44:14

262

Views

Is there an easy example of a variety that is not rational? ${}$

Published on 26 Mar 2026 - 13:44

score 55 · Answer 13 · 2021-12-26 11:40:01

55

Views

When the ring of regular functions is Artinian?

Published on 26 Dec 2021 - 11:40

score 188 · Answer 14 · 2021-12-27 00:13:57

188

Views

Upper semicontinuity of fiber dimension for Affine Varieties (reference desired)

Published on 27 Dec 2021 - 0:13

score 70 · Answer 15 · 2021-12-28 00:48:34

70

Views

A Corollary on Estimation of Fiber Dimension from Kemper's Course on Commutative Algebra

Published on 28 Dec 2021 - 0:48

List Question

Ideals contained in a field not algebraically closed are not comaximal

Projections between two affine algebraic sets

The multiplication map $\mathrm{GL}(n,k)\times\mathrm{GL}(n,k)\to\mathrm{GL}(n,k)$ such that $A\times B\mapsto AB$ is a morphism.

Show that the projections $\mathbb{A}^2\to\mathbb{A}^1$ are morphisms

Morphism between a projective and an affine varieties has finitely many points in its image

What schemes correspond to varieties in the sense of Weil?

Rational functions on an affine variety are completely determined by their values where they are defined

Demonstrating how to turn the affine plane into a double-cone with a sheet of paper, is it possible?

How to show that a function is not a regular map?

Theorem 3.2, Chapter 1, of Hartshorne's Algebraic Geometry

Globalisation of varieties

Is there an easy example of a variety that is not rational? ${}$

When the ring of regular functions is Artinian?

Upper semicontinuity of fiber dimension for Affine Varieties (reference desired)

A Corollary on Estimation of Fiber Dimension from Kemper's Course on Commutative Algebra

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