Question

Structure sheaf of $Proj \ S$ in terms of compatible stalks

score 450 · Answer 1 · 2014-11-14 19:58:52

450

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Structure sheaf of $Proj \ S$ in terms of compatible stalks

Published on 14 Nov 2014 - 19:58

score 436 · Answer 2 · 2014-11-24 21:34:43

436

Views

What is the canonical morphism of $\mathbb{P}^n_A$ to $\text{Spec }A$?

Published on 24 Nov 2014 - 21:34

score 1.1k · Answer 3 · 2014-12-30 03:29:56

1.1k

Views

The importance of the structural morphism of a projective variety.

Published on 30 Dec 2014 - 3:29

score 229 · Answer 4 · 2014-12-30 21:56:24

229

Views

"Twist" of $\mathbb P^n_K$ through a field automorphism.

Published on 30 Dec 2014 - 21:56

score 288 · Answer 5 · 2019-10-13 15:47:12

288

Views

Proof Explanation of Lemma III 7.4 Hartshorne

Published on 13 Oct 2019 - 15:47

score 139 · Answer 6 · 2019-10-19 19:47:40

139

Views

Čech cohomology of $\mathbb{P}^2_k \setminus [1:0:0]$

Published on 19 Oct 2019 - 19:47

score 502 · Answer 7 · 2026-03-21 21:55:02

502

Views

Constant morphism from $\mathbb{P}^m_k$ to $\mathbb{P}^n_k$ as schemes

Published on 21 Mar 2026 - 21:55

score 48 · Answer 8 · 2019-11-16 15:58:36

48

Views

If $R = k[T_0,\cdots,T_n]/I$ is integral, then $\text{dim Proj R}=\text{dim D}_+(T_i)$ for some $i$

Published on 16 Nov 2019 - 15:58

score 51 · Answer 9 · 2019-12-16 18:09:57

51

Views

If $S=A[T_0,\cdots,T_d]$, $X=\operatorname{Proj}S$, then $O_X(n)(X)=S_n$ if $n\geq0$, $0$ otherwise.

Published on 16 Dec 2019 - 18:09

score 89 · Answer 10 · 2020-01-18 17:22:59

89

Views

EDITED: What is the correspondence between the associated sheaves and subschemes of Weil prime divisors?

Published on 18 Jan 2020 - 17:22

score 50 · Answer 11 · 2020-01-30 09:56:33

50

Views

Geometry of taking the sheaf of algebras associated to a line bundle.

Published on 30 Jan 2020 - 9:56

score 82 · Answer 12 · 2020-01-30 10:32:53

82

Views

Nonreduced quadric hypersurfaces

Published on 30 Jan 2020 - 10:32

score 543 · Answer 13 · 2020-02-19 10:41:32

543

Views

Projective $n$ - space is not affine over any ring $R$

Published on 19 Feb 2020 - 10:41

score 365 · Answer 14 · 2020-02-25 17:10:04

365

Views

Normal linear system (embeddings into projective space)

Published on 25 Feb 2020 - 17:10

score 223 · Answer 15 · 2020-03-08 17:31:13

223

Views

Is the preimage of the generic point of the map $\mathbb{P}^n_R \to \operatorname{Spec}R$ open?

Published on 08 Mar 2020 - 17:31

List Question

Structure sheaf of $Proj \ S$ in terms of compatible stalks

What is the canonical morphism of $\mathbb{P}^n_A$ to $\text{Spec }A$?

The importance of the structural morphism of a projective variety.

"Twist" of $\mathbb P^n_K$ through a field automorphism.

Proof Explanation of Lemma III 7.4 Hartshorne

Čech cohomology of $\mathbb{P}^2_k \setminus [1:0:0]$

Constant morphism from $\mathbb{P}^m_k$ to $\mathbb{P}^n_k$ as schemes

If $R = k[T_0,\cdots,T_n]/I$ is integral, then $\text{dim Proj R}=\text{dim D}_+(T_i)$ for some $i$

If $S=A[T_0,\cdots,T_d]$, $X=\operatorname{Proj}S$, then $O_X(n)(X)=S_n$ if $n\geq0$, $0$ otherwise.

EDITED: What is the correspondence between the associated sheaves and subschemes of Weil prime divisors?

Geometry of taking the sheaf of algebras associated to a line bundle.

Nonreduced quadric hypersurfaces

Projective $n$ - space is not affine over any ring $R$

Normal linear system (embeddings into projective space)

Is the preimage of the generic point of the map $\mathbb{P}^n_R \to \operatorname{Spec}R$ open?

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