Question

$X_K$ is Reduced iff $X_F$ is reduced for every finite extension $k \subset F \subset K$

score 183 · Answer 1 · 2020-05-08 23:11:06

183

Views

$X_K$ is Reduced iff $X_F$ is reduced for every finite extension $k \subset F \subset K$

Published on 08 May 2020 - 23:11

score 68 · Answer 2 · 2026-03-26 09:20:00

68

Views

Proof with valuations in Liu's book

Published on 26 Mar 2026 - 9:20

score 214 · Answer 3 · 2026-02-23 06:25:19

214

Views

If $S\to T$ is a closed immersion, then $X\times_S Y\simeq X\times_T Y$.

Published on 23 Feb 2026 - 6:25

score 233 · Answer 4 · 2026-03-26 01:25:13

233

Views

What can we say about a restriction to a closed subset of an affine scheme?

Published on 26 Mar 2026 - 1:25

score 31 · Answer 5 · 2026-03-26 04:51:11

31

Views

Computing local dimensions of affine and projective space

Published on 26 Mar 2026 - 4:51

score 64 · Answer 6 · 2026-03-25 17:39:11

64

Views

Result on étaleness of Group schemes

Published on 25 Mar 2026 - 17:39

score 943 · Answer 7 · 2026-02-23 10:05:13

943

Views

Why is the pullback (between affine varieties) of a quasi coherent sheaf quasi coherent?

Published on 23 Feb 2026 - 10:05

score 104 · Answer 8 · 2026-03-30 11:37:49

104

Views

Classification of points on an irreducible reduced scheme of finite type over $k$ of dimension $1$.

Published on 30 Mar 2026 - 11:37

score 64 · Answer 9 · 2026-03-26 06:32:34

64

Views

Geometric points in fibre of finite étale morphism $\phi : Y \rightarrow X$ is independent of fibre

Published on 26 Mar 2026 - 6:32

score 555 · Answer 10 · 2026-03-26 08:07:23

555

Views

The quotient of the constant sheaf by the structure sheaf is flasque.

Published on 26 Mar 2026 - 8:07

score 92 · Answer 11 · 2026-03-26 03:12:19

92

Views

Concerning the spectrum of a quasi coherent $\mathcal{O}_{X}$ algebra

Published on 26 Mar 2026 - 3:12

score 391 · Answer 12 · 2020-05-16 12:48:58

391

Views

A question about an example of integral notherian scheme that is not a finite type over K

Published on 16 May 2020 - 12:48

score 183 · Answer 13 · 2020-05-16 18:08:48

183

Views

Morphism between quotient sheaf ($K_{X}/\mathcal{O}_{X}$) and $\bigoplus_{x\in\mathcal{X}}i_{x,*}(K(X)/\mathcal{O}_{X,x})$

Published on 16 May 2020 - 18:08

score 159 · Answer 14 · 2026-03-26 02:51:30

159

Views

When is relative Hilbert scheme $\text{Hilb}_{X/S}^{p(t)}$ flat over $S$?

Published on 26 Mar 2026 - 2:51

score 332 · Answer 15 · 2026-03-26 02:51:27

332

Views

Is the affine cone of a flat projective scheme again flat?

Published on 26 Mar 2026 - 2:51

List Question

$X_K$ is Reduced iff $X_F$ is reduced for every finite extension $k \subset F \subset K$

Proof with valuations in Liu's book

If $S\to T$ is a closed immersion, then $X\times_S Y\simeq X\times_T Y$.

What can we say about a restriction to a closed subset of an affine scheme?

Computing local dimensions of affine and projective space

Result on étaleness of Group schemes

Why is the pullback (between affine varieties) of a quasi coherent sheaf quasi coherent?

Classification of points on an irreducible reduced scheme of finite type over $k$ of dimension $1$.

Geometric points in fibre of finite étale morphism $\phi : Y \rightarrow X$ is independent of fibre

The quotient of the constant sheaf by the structure sheaf is flasque.

Concerning the spectrum of a quasi coherent $\mathcal{O}_{X}$ algebra

A question about an example of integral notherian scheme that is not a finite type over K

Morphism between quotient sheaf ($K_{X}/\mathcal{O}_{X}$) and $\bigoplus_{x\in\mathcal{X}}i_{x,*}(K(X)/\mathcal{O}_{X,x})$

When is relative Hilbert scheme $\text{Hilb}_{X/S}^{p(t)}$ flat over $S$?

Is the affine cone of a flat projective scheme again flat?

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