Question

Find all prime ideals of $\mathbb{F}_3[x,y]/(y^2−x^3+x)$ whose intersection with $\mathbb{F}_3[x]$ is equal to $(x^2+x+2)$

score 182 · Answer 1 · 2026-04-01 11:39:08

182

Views

Find all prime ideals of $\mathbb{F}_3[x,y]/(y^2−x^3+x)$ whose intersection with $\mathbb{F}_3[x]$ is equal to $(x^2+x+2)$

Published on 01 Apr 2026 - 11:39

score 551 · Answer 2 · 2026-03-25 02:56:44

551

Views

Explicit computations for derived functors

Published on 25 Mar 2026 - 2:56

score 123 · Answer 3 · 2026-03-25 03:07:12

123

Views

Sufficient conditions for two ideals with the same zero set to be equal

Published on 25 Mar 2026 - 3:07

score 2.4k · Answer 4 · 2026-03-30 22:56:09

2.4k

Views

Which $f,g \in \mathbb{C}[x,y]$ satisfy $\mathbb{C}(fy,gy)=\mathbb{C}(x,y)$?

Published on 30 Mar 2026 - 22:56

score 239 · Answer 5 · 2026-03-25 03:03:00

239

Views

What is the group-like structure on $x^2+y^2+z^2-2xyz=1$?

Published on 25 Mar 2026 - 3:03

score 87 · Answer 6 · 2018-08-13 20:32:44

87

Views

Algebraic equivalence of cycles and Chow varieties

Published on 13 Aug 2018 - 20:32

score 73 · Answer 7 · 2026-04-01 11:37:16

73

Views

Birationality of affine line implies birationality?

Published on 01 Apr 2026 - 11:37

score 823 · Answer 8 · 2026-04-04 23:09:03

823

Views

Let $X$ be a K3 surface, show that $H_1(X,\mathbb Z)=0$

Published on 04 Apr 2026 - 23:09

score 132 · Answer 9 · 2026-03-25 01:35:27

132

Views

Solving equations in $\mathbb{Z}/p\mathbb{Z}$ versus $\mathbb{Q}_p$.

Published on 25 Mar 2026 - 1:35

score 233 · Answer 10 · 2018-08-14 10:30:54

233

Views

Dimension of biggest linear subspace inside a variety of matrices

Published on 14 Aug 2018 - 10:30

score 640 · Answer 11 · 2026-04-02 07:21:54

640

Views

Definition of $\operatorname{Pic}^0(V)$ for $V$ a singular variety

Published on 02 Apr 2026 - 7:21

score 557 · Answer 12 · 2026-03-25 09:29:15

557

Views

Why do the first Chern classes of these line bundles span the Dolbeault cohomology group $H^{1,1}(X;\mathbb{R})$?

Published on 25 Mar 2026 - 9:29

score 232 · Answer 13 · 2026-03-25 09:27:39

232

Views

Proof check for closed sub scheme of an affine scheme is affine

Published on 25 Mar 2026 - 9:27

score 81 · Answer 14 · 2018-08-15 11:10:08

If V a closed subvariety of $P^n$ and $\phi_i:A^n\to U_i \subset P^n$, then $\phi_i^{-1}(V)$ is a closed subvariety of $A^n$

score 105 · Answer 15 · 2026-03-25 21:54:06

105

Views

Question about characterisation of smoothness of a morphism of schemes in Olsson's book

Published on 25 Mar 2026 - 21:54

List Question

Find all prime ideals of $\mathbb{F}_3[x,y]/(y^2−x^3+x)$ whose intersection with $\mathbb{F}_3[x]$ is equal to $(x^2+x+2)$

Explicit computations for derived functors

Sufficient conditions for two ideals with the same zero set to be equal

Which $f,g \in \mathbb{C}[x,y]$ satisfy $\mathbb{C}(fy,gy)=\mathbb{C}(x,y)$?

What is the group-like structure on $x^2+y^2+z^2-2xyz=1$?

Algebraic equivalence of cycles and Chow varieties

Birationality of affine line implies birationality?

Let $X$ be a K3 surface, show that $H_1(X,\mathbb Z)=0$

Solving equations in $\mathbb{Z}/p\mathbb{Z}$ versus $\mathbb{Q}_p$.

Dimension of biggest linear subspace inside a variety of matrices

Definition of $\operatorname{Pic}^0(V)$ for $V$ a singular variety

Why do the first Chern classes of these line bundles span the Dolbeault cohomology group $H^{1,1}(X;\mathbb{R})$?

Proof check for closed sub scheme of an affine scheme is affine

If V a closed subvariety of $P^n$ and $\phi_i:A^n\to U_i \subset P^n$, then $\phi_i^{-1}(V)$ is a closed subvariety of $A^n$

Question about characterisation of smoothness of a morphism of schemes in Olsson's book

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