Question

If $Y$ is a projective variety and $Y \cap \mathbb{V}(g) = \emptyset$, then $Y$ is affine

score 67 · Answer 1 · 2023-12-13 12:10:50

67

Views

If $Y$ is a projective variety and $Y \cap \mathbb{V}(g) = \emptyset$, then $Y$ is affine

Published on 13 Dec 2023 - 12:10

score 62 · Answer 2 · 2026-03-25 18:44:11

62

Views

compute Matrix relative to monomial Basis

Published on 25 Mar 2026 - 18:44

score 113 · Answer 3 · 2026-03-26 04:34:41

113

Views

$ (\mathbb{P}^n \times \mathbb{P}^n) \setminus \Gamma$ is isomorphic to an affine variety

Published on 26 Mar 2026 - 4:34

score 81 · Answer 4 · 2023-12-16 01:19:03

81

Views

Extension of a morphism of affine varieties $f: X \to Y$ to $\overline{f}: \mathbb{A}^m \to \mathbb{A}^n$

Published on 16 Dec 2023 - 1:19

score 64 · Answer 5 · 2024-01-04 17:59:25

64

Views

Questions about singularity of a projective cubic in the projective plane.

Published on 04 Jan 2024 - 17:59

score 88 · Answer 6 · 2024-01-08 12:21:25

88

Views

Miracle flatness on Wikipedia's "Cohen--Macaulay ring"

Published on 08 Jan 2024 - 12:21

score 79 · Answer 7 · 2024-01-08 21:05:18

79

Views

Regular functions on an algebraic variety

Published on 08 Jan 2024 - 21:05

score 48 · Answer 8 · 2026-02-23 08:25:18

48

Views

Exercise about fibre product of varieties

Published on 23 Feb 2026 - 8:25

score 70 · Answer 9 · 2024-01-18 17:16:10

70

Views

At which points of $X=V(x^2+y^2-1)$ is the rational function $\frac{1-y}{x}$ regular?

Published on 18 Jan 2024 - 17:16

score 56 · Answer 10 · 2026-03-26 01:03:35

56

Views

Prove $S = \{ (a,b) \in \mathbb{A}^2 \ | \ a \overline{a} + b \overline{b} = 1\}$ is not Zariski closed

Published on 26 Mar 2026 - 1:03

score 59 · Answer 11 · 2026-03-26 01:03:32

59

Views

Hausdorff-ness of irreducible affine algebraic sets

Published on 26 Mar 2026 - 1:03

score 68 · Answer 12 · 2026-03-26 02:53:05

68

Views

classification of morphism between varieties

Published on 26 Mar 2026 - 2:53

score 51 · Answer 13 · 2024-02-05 02:26:10

51

Views

Relation between $(A/I)^G$ and $A/I^G$ for a group action $G\curvearrowright A$

Published on 05 Feb 2024 - 2:26

score 72 · Answer 14 · 2026-03-26 02:48:58

72

Views

How to show that $(y-x^2, z-x^3) \in \mathbb{C}[x,y,z]$ is irreducible or radical?

Published on 26 Mar 2026 - 2:48

score 77 · Answer 15 · 2024-02-24 10:17:53

77

Views

A question on isolated singularity involving analytic varieties.

Published on 24 Feb 2024 - 10:17

List Question

If $Y$ is a projective variety and $Y \cap \mathbb{V}(g) = \emptyset$, then $Y$ is affine

compute Matrix relative to monomial Basis

$ (\mathbb{P}^n \times \mathbb{P}^n) \setminus \Gamma$ is isomorphic to an affine variety

Extension of a morphism of affine varieties $f: X \to Y$ to $\overline{f}: \mathbb{A}^m \to \mathbb{A}^n$

Questions about singularity of a projective cubic in the projective plane.

Miracle flatness on Wikipedia's "Cohen--Macaulay ring"

Regular functions on an algebraic variety

Exercise about fibre product of varieties

At which points of $X=V(x^2+y^2-1)$ is the rational function $\frac{1-y}{x}$ regular?

Prove $S = \{ (a,b) \in \mathbb{A}^2 \ | \ a \overline{a} + b \overline{b} = 1\}$ is not Zariski closed

Hausdorff-ness of irreducible affine algebraic sets

classification of morphism between varieties

Relation between $(A/I)^G$ and $A/I^G$ for a group action $G\curvearrowright A$

How to show that $(y-x^2, z-x^3) \in \mathbb{C}[x,y,z]$ is irreducible or radical?

A question on isolated singularity involving analytic varieties.

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