Question

Extension of a morphism from stalk to open set

score 43 · Answer 1 · 2023-12-27 06:25:10

43

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Extension of a morphism from stalk to open set

Published on 27 Dec 2023 - 6:25

score 62 · Answer 2 · 2023-12-29 11:49:18

62

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A proof of Chevalley Theorem - upper semi continuity of the dimension of fibers

Published on 29 Dec 2023 - 11:49

score 177 · Answer 3 · 2026-03-27 02:39:10

177

Views

Twists of morphisms and torsors

Published on 27 Mar 2026 - 2:39

score 62 · Answer 4 · 2024-01-03 09:09:06

62

Views

In a normalization, does the choice of isomorphism with function field break uniqueness?

Published on 03 Jan 2024 - 9:09

score 84 · Answer 5 · 2026-04-01 23:07:08

84

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Extending a $G$-torsor/vector bundle over a codimension 2 locus

Published on 01 Apr 2026 - 23:07

score 81 · Answer 6 · 2026-03-25 21:51:13

81

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Show that $A[T]/(P(T))$ is a local flat A-algebra where $(A,\mathfrak{m},k)$ is a local ring with $k[T]/(\tilde{P}(T))$ is a simple extension of $k$

Published on 25 Mar 2026 - 21:51

score 133 · Answer 7 · 2026-03-27 04:21:54

133

Views

Cech cohomology on infinite open cover commutes with colimit on Noetherian space? (Exercise 5.2.6 in Qing Liu's book)

Published on 27 Mar 2026 - 4:21

score 89 · Answer 8 · 2026-03-26 19:08:02

89

Views

Miracle flatness on Wikipedia's "Cohen--Macaulay ring"

Published on 26 Mar 2026 - 19:08

score 49 · Answer 9 · 2026-03-25 13:59:07

49

Views

Is projective morphism over a discrete valuation ring always flat?

Published on 25 Mar 2026 - 13:59

score 93 · Answer 10 · 2026-03-25 13:58:09

93

Views

[Cor 5.3.24 in Qing Liu]If $X$ is a projective scheme over a DVR $A$, then any coherent sheaf of ideal of $\mathcal{O}_X$ is flat over $A$?

Published on 25 Mar 2026 - 13:58

score 44 · Answer 11 · 2024-01-11 15:48:04

44

Views

Definition for local on both source and target

Published on 11 Jan 2024 - 15:48

score 59 · Answer 12 · 2024-01-12 22:10:44

59

Views

Is the induced map on $K$-points surjective?

Published on 12 Jan 2024 - 22:10

score 56 · Answer 13 · 2026-03-25 13:54:08

56

Views

Reduced, irreducible and integral schemes

Published on 25 Mar 2026 - 13:54

score 68 · Answer 14 · 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 66 · Answer 15 · 2026-03-27 04:35:16

66

Views

Krull dimension of affine open subscheme of Noetherian scheme containing the generic points of all irreducible components

Published on 27 Mar 2026 - 4:35

List Question

Extension of a morphism from stalk to open set

A proof of Chevalley Theorem - upper semi continuity of the dimension of fibers

Twists of morphisms and torsors

In a normalization, does the choice of isomorphism with function field break uniqueness?

Extending a $G$-torsor/vector bundle over a codimension 2 locus

Show that $A[T]/(P(T))$ is a local flat A-algebra where $(A,\mathfrak{m},k)$ is a local ring with $k[T]/(\tilde{P}(T))$ is a simple extension of $k$

Cech cohomology on infinite open cover commutes with colimit on Noetherian space? (Exercise 5.2.6 in Qing Liu's book)

Miracle flatness on Wikipedia's "Cohen--Macaulay ring"

Is projective morphism over a discrete valuation ring always flat?

[Cor 5.3.24 in Qing Liu]If $X$ is a projective scheme over a DVR $A$, then any coherent sheaf of ideal of $\mathcal{O}_X$ is flat over $A$?

Definition for local on both source and target

Is the induced map on $K$-points surjective?

Reduced, irreducible and integral schemes

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

Krull dimension of affine open subscheme of Noetherian scheme containing the generic points of all irreducible components

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