Question

Can we explicitly describe the derived pullback $\mathbf L\pi^* \widetilde M$ for a closed immersion $\pi$ of affine schemes?

score 56 · Answer 1 · 2023-11-25 23:59:43

56

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Can we explicitly describe the derived pullback $\mathbf L\pi^* \widetilde M$ for a closed immersion $\pi$ of affine schemes?

Published on 25 Nov 2023 - 23:59

score 68 · Answer 2 · 2026-03-26 01:10:53

68

Views

On free direct summand locus of finitely generated modules over commutative Noetherian rings

Published on 26 Mar 2026 - 1:10

score 59 · Answer 3 · 2026-02-23 07:00:21

59

Views

Closed immersion of locally ringed spaces vs closed immersion determined by ideal sheaf

Published on 23 Feb 2026 - 7:00

score 100 · Answer 4 · 2024-01-26 05:39:48

100

Views

If $U\cong\operatorname{Spec} B\subset \operatorname{Spec} A$ is an affine open, then $\widetilde{M}(U)\cong M\otimes_A B$

Published on 26 Jan 2024 - 5:39

score 84 · Answer 5 · 2024-02-06 04:10:45

84

Views

Vakil's Generalization of QCQS Lemma

Published on 06 Feb 2024 - 4:10

score 85 · Answer 6 · 2024-02-19 00:32:11

85

Views

On the right adjoint of the derived pushforward of a proper birational morphism of Noetherian quasi-separated schemes

Published on 19 Feb 2024 - 0:32

score 49 · Answer 7 · 2024-03-11 22:33:05

49

Views

Definition of an $\mathcal{O}_X$-module generated by its global sections in Liu

Published on 11 Mar 2024 - 22:33

score 64 · Answer 8 · 2024-03-20 19:13:56

64

Views

Global version of an ideal being "finitely generated up to radical"

Published on 20 Mar 2024 - 19:13

score 462 · Answer 9 · 2026-03-25 23:38:23

462

Views

Property of pullback of quasi-coherent sheaves

Published on 25 Mar 2026 - 23:38

score 6.3k · Answer 10 · 2015-01-18 22:48:56

6.3k

Views

When is the pushforward of a quasi-coherent sheaf quasi-coherent? Hartshorne proof

Published on 18 Jan 2015 - 22:48

score 1.9k · Answer 11 · 2015-02-14 14:18:32

1.9k

Views

Hartshorne II Ex 5.9(a) or R. Vakil Ex 15.4.D(b): Saturated modules

Published on 14 Feb 2015 - 14:18

score 96 · Answer 12 · 2026-03-25 23:38:09

96

Views

Definition of a $\mathcal{O}(a,b)$?

Published on 25 Mar 2026 - 23:38

score 1.5k · Answer 13 · 2015-03-28 03:10:30

1.5k

Views

Is the push-forward of a quasi-coherent sheaf under open immersion still quasi-coherent?

Published on 28 Mar 2015 - 3:10

score 87 · Answer 14 · 2015-03-28 04:12:56

87

Views

The higher cohomologies of a quasi-coherent sheaf on the intersection of two affine open subsets.

Published on 28 Mar 2015 - 4:12

score 51 · Answer 15 · 2015-04-22 14:33:24

51

Views

Map between free sheaf modules not arising from a "matrix"

Published on 22 Apr 2015 - 14:33

List Question

Can we explicitly describe the derived pullback $\mathbf L\pi^* \widetilde M$ for a closed immersion $\pi$ of affine schemes?

On free direct summand locus of finitely generated modules over commutative Noetherian rings

Closed immersion of locally ringed spaces vs closed immersion determined by ideal sheaf

If $U\cong\operatorname{Spec} B\subset \operatorname{Spec} A$ is an affine open, then $\widetilde{M}(U)\cong M\otimes_A B$

Vakil's Generalization of QCQS Lemma

On the right adjoint of the derived pushforward of a proper birational morphism of Noetherian quasi-separated schemes

Definition of an $\mathcal{O}_X$-module generated by its global sections in Liu

Global version of an ideal being "finitely generated up to radical"

Property of pullback of quasi-coherent sheaves

When is the pushforward of a quasi-coherent sheaf quasi-coherent? Hartshorne proof

Hartshorne II Ex 5.9(a) or R. Vakil Ex 15.4.D(b): Saturated modules

Definition of a $\mathcal{O}(a,b)$?

Is the push-forward of a quasi-coherent sheaf under open immersion still quasi-coherent?

The higher cohomologies of a quasi-coherent sheaf on the intersection of two affine open subsets.

Map between free sheaf modules not arising from a "matrix"

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