Question

Dimension of local ring at closed point on integral scheme of finite type over an algebraically closed field.

score 187 · Answer 1 · 2021-06-20 11:55:38

187

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Dimension of local ring at closed point on integral scheme of finite type over an algebraically closed field.

Published on 20 Jun 2021 - 11:55

score 215 · Answer 2 · 2026-03-25 19:05:05

215

Views

Dimension of quasi-affine variety

Published on 25 Mar 2026 - 19:05

score 57 · Answer 3 · 2021-06-22 19:51:43

57

Views

What's wrong with this computation of algebraic de Rham cohomology of a disjoint union?

Published on 22 Jun 2021 - 19:51

score 196 · Answer 4 · 2026-03-26 12:44:01

196

Views

All varieties are quasi-projective?

Published on 26 Mar 2026 - 12:44

score 52 · Answer 5 · 2021-07-07 03:52:53

52

Views

Isomorphism of an affine variety with $\mathbb{C}/ (\mathbb{Z}[i])$

Published on 07 Jul 2021 - 3:52

score 80 · Answer 6 · 2021-07-15 21:24:10

80

Views

Different embeddings of an affine variety correspond to isomorphic coordinate rings

Published on 15 Jul 2021 - 21:24

score 1k · Answer 7 · 2021-07-17 08:01:51

1k

Views

Why is $\mathfrak{m}/\mathfrak{m}^{2}$ the cotangent space to a variety?

Published on 17 Jul 2021 - 8:01

score 106 · Answer 8 · 2021-07-18 07:17:22

106

Views

Recovering a polynomial from its zero locus

Published on 18 Jul 2021 - 7:17

score 168 · Answer 9 · 2026-03-26 14:23:01

168

Views

Example of morphism of irreducible varieties with reducible fibre

Published on 26 Mar 2026 - 14:23

score 152 · Answer 10 · 2021-08-09 13:17:21

152

Views

Prove that any parallelopided is a convex set.

Published on 09 Aug 2021 - 13:17

score 122 · Answer 11 · 2021-08-18 20:38:32

122

Views

affine varieties- prove a specific example

Published on 18 Aug 2021 - 20:38

score 133 · Answer 12 · 2021-08-22 17:38:35

133

Views

Show that $\textrm{Hom}(V,W)\overset{*}{\rightarrow}\textrm{Hom}(k[W],k[V])$ is bijective.

Published on 22 Aug 2021 - 17:38

score 537 · Answer 13 · 2021-08-24 14:25:53

537

Views

Proof verification: show that hyperbola $\textrm Z(xy-1)$ is not isomorphic to an affine line $\mathbb A^1.$

Published on 24 Aug 2021 - 14:25

score 237 · Answer 14 · 2021-08-25 00:07:45

237

Views

Describe explicitly all the automorphisms of an affine line $\mathbb A^1.$

Published on 25 Aug 2021 - 0:07

score 42 · Answer 15 · 2021-09-08 12:42:48

42

Views

Find ideals $I,J\subset F[x_1,x_2,\cdots x_n]$ such that $V(I)=V(J)$ but $I\neq J$

Published on 08 Sep 2021 - 12:42

List Question

Dimension of local ring at closed point on integral scheme of finite type over an algebraically closed field.

Dimension of quasi-affine variety

What's wrong with this computation of algebraic de Rham cohomology of a disjoint union?

All varieties are quasi-projective?

Isomorphism of an affine variety with $\mathbb{C}/ (\mathbb{Z}[i])$

Different embeddings of an affine variety correspond to isomorphic coordinate rings

Why is $\mathfrak{m}/\mathfrak{m}^{2}$ the cotangent space to a variety?

Recovering a polynomial from its zero locus

Example of morphism of irreducible varieties with reducible fibre

Prove that any parallelopided is a convex set.

affine varieties- prove a specific example

Show that $\textrm{Hom}(V,W)\overset{*}{\rightarrow}\textrm{Hom}(k[W],k[V])$ is bijective.

Proof verification: show that hyperbola $\textrm Z(xy-1)$ is not isomorphic to an affine line $\mathbb A^1.$

Describe explicitly all the automorphisms of an affine line $\mathbb A^1.$

Find ideals $I,J\subset F[x_1,x_2,\cdots x_n]$ such that $V(I)=V(J)$ but $I\neq J$

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