Question

Algebraic characterisation of geometrically integral affine schemes of finite type over a field

score 148 · Answer 1 · 2022-09-06 14:29:29

148

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Algebraic characterisation of geometrically integral affine schemes of finite type over a field

Published on 06 Sep 2022 - 14:29

score 54 · Answer 2 · 2026-03-25 23:38:16

54

Views

Codimension of variety versus linear independence of defining homogeneous polynomials

Published on 25 Mar 2026 - 23:38

score 33 · Answer 3 · 2022-09-21 20:51:50

33

Views

Determine the closure of the difference of two affine hypersurfaces $\overline{Z(f)\backslash Z(g)}$.

Published on 21 Sep 2022 - 20:51

score 52 · Answer 4 · 2022-09-28 07:54:59

52

Views

Variety of Probabilistic Independence

Published on 28 Sep 2022 - 7:54

score 412 · Answer 5 · 2022-10-02 22:02:13

412

Views

Zariski topology in the product of algebraic varieties

Published on 02 Oct 2022 - 22:02

score 118 · Answer 6 · 2022-10-18 08:21:07

118

Views

Are the two affine varieties $V(x_2^2-x_1^3-x_1^2)$ and $V(x_1^2-x_2^2-1)$ isomorphic over $\mathbb{C}$?

Published on 18 Oct 2022 - 8:21

score 152 · Answer 7 · 2026-03-25 14:47:05

152

Views

Does the $n$-sphere have a surjective rational parameterization $p \colon \mathbb{R}^k \to S^n$ for some $k \geq 1$?

Published on 25 Mar 2026 - 14:47

score 662 · Answer 8 · 2026-03-27 13:03:24

662

Views

A morphism of affine varieties $\phi: X\to Y$ is an isomorphism iff the algebra homomorphism $\phi^*$ is an isomorphism.

Published on 27 Mar 2026 - 13:03

score 93 · Answer 9 · 2026-03-27 11:24:42

93

Views

Computing a local parameter: don't understand a step

Published on 27 Mar 2026 - 11:24

score 40 · Answer 10 · 2022-11-18 08:42:50

40

Views

Determine ideal $I(V)$ for variety $V(x+y)$

Published on 18 Nov 2022 - 8:42

score 46 · Answer 11 · 2022-11-30 18:36:22

46

Views

Affine variety of lagrange polynomial

Published on 30 Nov 2022 - 18:36

score 94 · Answer 12 · 2022-12-03 17:28:26

94

Views

Pullback of maximal ideal is maximal: questions on Ueno's proof

Published on 03 Dec 2022 - 17:28

score 105 · Answer 13 · 2026-03-26 21:10:17

105

Views

Incidence correspondence of smooth hypersurfaces of degree $5$ in $\mathbb{P}^4$

Published on 26 Mar 2026 - 21:10

score 271 · Answer 14 · 2026-03-27 13:03:36

271

Views

Krull dimension vs. Dimension in Zariski topology for a field that is not algebraically closed

Published on 27 Mar 2026 - 13:03

score 57 · Answer 15 · 2022-12-07 23:58:35

57

Views

The dimension of the tangent space of a point in affine algebraic variety and in its irreducible component

Published on 07 Dec 2022 - 23:58

List Question

Algebraic characterisation of geometrically integral affine schemes of finite type over a field

Codimension of variety versus linear independence of defining homogeneous polynomials

Determine the closure of the difference of two affine hypersurfaces $\overline{Z(f)\backslash Z(g)}$.

Variety of Probabilistic Independence

Zariski topology in the product of algebraic varieties

Are the two affine varieties $V(x_2^2-x_1^3-x_1^2)$ and $V(x_1^2-x_2^2-1)$ isomorphic over $\mathbb{C}$?

Does the $n$-sphere have a surjective rational parameterization $p \colon \mathbb{R}^k \to S^n$ for some $k \geq 1$?

A morphism of affine varieties $\phi: X\to Y$ is an isomorphism iff the algebra homomorphism $\phi^*$ is an isomorphism.

Computing a local parameter: don't understand a step

Determine ideal $I(V)$ for variety $V(x+y)$

Affine variety of lagrange polynomial

Pullback of maximal ideal is maximal: questions on Ueno's proof

Incidence correspondence of smooth hypersurfaces of degree $5$ in $\mathbb{P}^4$

Krull dimension vs. Dimension in Zariski topology for a field that is not algebraically closed

The dimension of the tangent space of a point in affine algebraic variety and in its irreducible component

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