Question

Can a map $\mathbb{A}^{m}_{k}\rightarrow\mathbb{A}^{n}_{k}$ always be extended to projective space?

score 105 · Answer 1 · 2020-02-08 17:29:09

105

Views

Can a map $\mathbb{A}^{m}_{k}\rightarrow\mathbb{A}^{n}_{k}$ always be extended to projective space?

Published on 08 Feb 2020 - 17:29

score 55 · Answer 2 · 2020-02-08 18:41:28

55

Views

Are graphs of continuous real-valued functions locally affine varieties?*

Published on 08 Feb 2020 - 18:41

score 155 · Answer 3 · 2020-02-09 21:34:21

155

Views

Spaces with function definition in G. Kempf, Algebraic Varieties

Published on 09 Feb 2020 - 21:34

score 174 · Answer 4 · 2020-02-19 23:06:51

174

Views

Quotient variety as a quotient set

Published on 19 Feb 2020 - 23:06

score 222 · Answer 5 · 2020-02-25 01:55:39

222

Views

Finite morphisms between algebraic varieties are closed is a local property

Published on 25 Feb 2020 - 1:55

score 352 · Answer 6 · 2020-02-26 17:55:01

352

Views

Proof of Nullstellensatz

Published on 26 Feb 2020 - 17:55

score 146 · Answer 7 · 2020-02-29 03:53:21

146

Views

Exercise 2.5.6 in Kempf's Algebraic Varieties: Dimension of a variety

Published on 29 Feb 2020 - 3:53

score 82 · Answer 8 · 2020-02-29 04:10:03

82

Views

Lemma 2.4.4 from Kempf's Algebraic Varieties

Published on 29 Feb 2020 - 4:10

score 30 · Answer 9 · 2020-03-03 23:20:38

30

Views

Question on proof concerning ideals containing monomials and their varieties

Published on 03 Mar 2020 - 23:20

score 85 · Answer 10 · 2026-03-25 12:51:57

85

Views

What closure for strict transform of affine variety?

Published on 25 Mar 2026 - 12:51

score 50 · Answer 11 · 2026-03-25 12:50:49

50

Views

How to calculate the chow form of the projective closure of the product of affine varieties when given the chow forms of their projective closures.

Published on 25 Mar 2026 - 12:50

score 34 · Answer 12 · 2020-03-07 11:20:08

34

Views

The natural maps $\mathcal{O}(Y) \to \mathcal{O}_p \to K(Y)$ are injective

Published on 07 Mar 2020 - 11:20

score 227 · Answer 13 · 2026-03-25 12:46:29

227

Views

Correspondence Between Affine and Projective Varieties

Published on 25 Mar 2026 - 12:46

score 45 · Answer 14 · 2020-03-09 16:45:58

45

Views

Field of definition of a polynomial ideal which is preserved under a Galois action

Published on 09 Mar 2020 - 16:45

score 40 · Answer 15 · 2020-03-13 21:55:47

40

Views

For $Y_1,Y_2$ closed subsets of $\mathbb{A}_k^n$, $\mathcal{I}(Y_1 \cap Y_2)= \text{rad}(\mathcal{I}(Y_1)+\mathcal{I}(Y_2))$

Published on 13 Mar 2020 - 21:55

List Question

Can a map $\mathbb{A}^{m}_{k}\rightarrow\mathbb{A}^{n}_{k}$ always be extended to projective space?

Are graphs of continuous real-valued functions locally affine varieties?*

Spaces with function definition in G. Kempf, Algebraic Varieties

Quotient variety as a quotient set

Finite morphisms between algebraic varieties are closed is a local property

Proof of Nullstellensatz

Exercise 2.5.6 in Kempf's Algebraic Varieties: Dimension of a variety

Lemma 2.4.4 from Kempf's Algebraic Varieties

Question on proof concerning ideals containing monomials and their varieties

What closure for strict transform of affine variety?

How to calculate the chow form of the projective closure of the product of affine varieties when given the chow forms of their projective closures.

The natural maps $\mathcal{O}(Y) \to \mathcal{O}_p \to K(Y)$ are injective

Correspondence Between Affine and Projective Varieties

Field of definition of a polynomial ideal which is preserved under a Galois action

For $Y_1,Y_2$ closed subsets of $\mathbb{A}_k^n$, $\mathcal{I}(Y_1 \cap Y_2)= \text{rad}(\mathcal{I}(Y_1)+\mathcal{I}(Y_2))$

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