Question

Why does $\operatorname{Proj}(B)$ not contain ideals containing the irrelevant ideal?

score 904 · Answer 1 · 2015-12-05 14:54:22

904

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Why does $\operatorname{Proj}(B)$ not contain ideals containing the irrelevant ideal?

Published on 05 Dec 2015 - 14:54

score 732 · Answer 2 · 2015-12-05 15:56:07

732

Views

If $A=\Gamma(X,O_X)$ and $Spec(A)=X$ then $Spec(A)=X$ as schemes.

Published on 05 Dec 2015 - 15:56

score 87 · Answer 3 · 2015-12-05 23:36:14

87

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Very ample divisors over non-algebraically complete field

Published on 05 Dec 2015 - 23:36

score 1k · Answer 4 · 2026-03-25 12:29:26

1k

Views

Fiber product with diagonal morphism

Published on 25 Mar 2026 - 12:29

score 327 · Answer 5 · 2026-03-30 10:38:14

327

Views

Sheafyness and relative chinese remainder theorem

Published on 30 Mar 2026 - 10:38

score 99 · Answer 6 · 2026-04-01 23:20:52

99

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Are $ \mathbb{A}^n (k ) = k^n $ and $ \mathbb{P}^{n} (k) = \mathrm{Proj} \ k[X_0 , \dots , X_n ]$ irreducibles?

Published on 01 Apr 2026 - 23:20

score 561 · Answer 7 · 2015-12-09 03:52:14

561

Views

Is this solution to Hartshorne Exercise III.10.2 correct?

Published on 09 Dec 2015 - 3:52

score 245 · Answer 8 · 2015-12-10 02:53:13

245

Views

A finite morphism between affine schemes is closed. How can we generalize this to show any finite morphism of schemes is closed?

Published on 10 Dec 2015 - 2:53

score 1.5k · Answer 9 · 2015-12-11 08:13:33

1.5k

Views

$f:X\rightarrow Y$ is a closed immersion iff $f:f^{-1}(U_i)\rightarrow U_i$ is a closed immersion.

Published on 11 Dec 2015 - 8:13

score 65 · Answer 10 · 2015-12-13 17:27:04

65

Views

Relative affine schemes as zero-locuses

Published on 13 Dec 2015 - 17:27

score 247 · Answer 11 · 2015-12-14 00:59:23

247

Views

All open subsets of the spectrum of a number field are principal

Published on 14 Dec 2015 - 0:59

score 597 · Answer 12 · 2015-12-14 10:16:20

597

Views

Learning Galois theory geometrically?

Published on 14 Dec 2015 - 10:16

score 130 · Answer 13 · 2015-12-17 22:18:55

130

Views

Confusion Over Geometric Irreducibility

Published on 17 Dec 2015 - 22:18

score 371 · Answer 14 · 2026-04-03 09:25:36

371

Views

Pushforward of a quasicoherent sheaf on a noetherian scheme is quasicoherent

Published on 03 Apr 2026 - 9:25

score 722 · Answer 15 · 2015-12-19 22:22:37

722

Views

Inverse function theorem for etale morphisms

Published on 19 Dec 2015 - 22:22

List Question

Why does $\operatorname{Proj}(B)$ not contain ideals containing the irrelevant ideal?

If $A=\Gamma(X,O_X)$ and $Spec(A)=X$ then $Spec(A)=X$ as schemes.

Very ample divisors over non-algebraically complete field

Fiber product with diagonal morphism

Sheafyness and relative chinese remainder theorem

Are $ \mathbb{A}^n (k ) = k^n $ and $ \mathbb{P}^{n} (k) = \mathrm{Proj} \ k[X_0 , \dots , X_n ]$ irreducibles?

Is this solution to Hartshorne Exercise III.10.2 correct?

A finite morphism between affine schemes is closed. How can we generalize this to show any finite morphism of schemes is closed?

$f:X\rightarrow Y$ is a closed immersion iff $f:f^{-1}(U_i)\rightarrow U_i$ is a closed immersion.

Relative affine schemes as zero-locuses

All open subsets of the spectrum of a number field are principal

Learning Galois theory geometrically?

Confusion Over Geometric Irreducibility

Pushforward of a quasicoherent sheaf on a noetherian scheme is quasicoherent

Inverse function theorem for etale morphisms

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