Question

When is the closed subscheme of $\Bbb P^n_{\Bbb C}$ cut out by a homogeneous polynomial $f$ integral?

score 66 · Answer 1 · 2026-03-28 06:10:21

66

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When is the closed subscheme of $\Bbb P^n_{\Bbb C}$ cut out by a homogeneous polynomial $f$ integral?

Published on 28 Mar 2026 - 6:10

score 55 · Answer 2 · 2021-11-04 10:20:45

55

Views

Do ample sheaves descend along limits / noetherian approximation?

Published on 04 Nov 2021 - 10:20

score 124 · Answer 3 · 2026-03-26 17:32:31

124

Views

Are complete varieties in the sense of Weil the same as proper varieties?

Published on 26 Mar 2026 - 17:32

score 378 · Answer 4 · 2021-11-25 21:49:10

378

Views

nth Veronese subring embedding induces isomorphism of schemes (Vakil FOAG 6.4.D)

Published on 25 Nov 2021 - 21:49

score 418 · Answer 5 · 2021-11-26 12:02:57

418

Views

Does the degree of a projective curve depend on the embedding into projective space?

Published on 26 Nov 2021 - 12:02

score 129 · Answer 6 · 2021-12-01 19:46:30

129

Views

Show that the dimention of the intersection of projective linear sub-spaces of dimentions $d_1$ and $d_2$ of $\mathbb{P}^n$ is bigger than $d_1+d_2-n$

Published on 01 Dec 2021 - 19:46

score 119 · Answer 7 · 2022-01-01 17:15:24

119

Views

A $k$-dimensional reduced subscheme $Y \subset \mathbb{P}^n$ of degree $1$ is a linearly embedded $k$-plane

Published on 01 Jan 2022 - 17:15

score 130 · Answer 8 · 2022-01-05 00:31:53

130

Views

Hartshorne example III.9.8.3

Published on 05 Jan 2022 - 0:31

score 351 · Answer 9 · 2022-02-27 14:48:23

351

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Quasi-projective A-schemes are locally of finite type over A, The Rising Sea, Ex.5.3.D

Published on 27 Feb 2022 - 14:48

score 253 · Answer 10 · 2022-04-17 20:29:56

253

Views

Vakil's proof of Bertini's theorem (Theorem 12.4.2) - where do the linear conditions on the fiber come from?

Published on 17 Apr 2022 - 20:29

score 72 · Answer 11 · 2026-03-27 06:56:53

72

Views

Deformations of finite schemes

Published on 27 Mar 2026 - 6:56

score 145 · Answer 12 · 2022-05-09 14:07:06

145

Views

Hartshorne, Exc II 7.9: Do I need regularity to show $\operatorname{Pic} \mathbb P(E) = \operatorname{Pic} X \times \mathbb Z$?

Published on 09 May 2022 - 14:07

score 202 · Answer 13 · 2026-03-27 08:42:10

202

Views

Sections of a torsion sheaf

Published on 27 Mar 2026 - 8:42

score 158 · Answer 14 · 2026-03-27 08:42:00

158

Views

Global sections of a torsion sheaf

Published on 27 Mar 2026 - 8:42

score 117 · Answer 15 · 2022-08-10 11:43:51

117

Views

Algebraic Projective Noether normalization

Published on 10 Aug 2022 - 11:43

List Question

When is the closed subscheme of $\Bbb P^n_{\Bbb C}$ cut out by a homogeneous polynomial $f$ integral?

Do ample sheaves descend along limits / noetherian approximation?

Are complete varieties in the sense of Weil the same as proper varieties?

nth Veronese subring embedding induces isomorphism of schemes (Vakil FOAG 6.4.D)

Does the degree of a projective curve depend on the embedding into projective space?

Show that the dimention of the intersection of projective linear sub-spaces of dimentions $d_1$ and $d_2$ of $\mathbb{P}^n$ is bigger than $d_1+d_2-n$

A $k$-dimensional reduced subscheme $Y \subset \mathbb{P}^n$ of degree $1$ is a linearly embedded $k$-plane

Hartshorne example III.9.8.3

Quasi-projective A-schemes are locally of finite type over A, The Rising Sea, Ex.5.3.D

Vakil's proof of Bertini's theorem (Theorem 12.4.2) - where do the linear conditions on the fiber come from?

Deformations of finite schemes

Hartshorne, Exc II 7.9: Do I need regularity to show $\operatorname{Pic} \mathbb P(E) = \operatorname{Pic} X \times \mathbb Z$?

Sections of a torsion sheaf

Global sections of a torsion sheaf

Algebraic Projective Noether normalization

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