List questions from localization

Published on 28 Mar 2026 - 10:27

48

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"Correct" definition of localisation of modules using universal property

Published on 29 Oct 2022 - 13:02

94

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Why is for an algebraically closed field $k$, $\mathbb{A}^1_k \setminus \{0\} \simeq \operatorname{Spec} k[x, x^{-1}]$

Published on 01 Apr 2026 - 2:05

66

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function on structure sheaf and its values at points

Published on 23 Feb 2026 - 15:46

126

Views

A module of finite type and localization

Published on 06 Nov 2022 - 21:58

49

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Ideals of a PID and Localization

Published on 07 Nov 2022 - 3:02

82

Views

Noetherian property is not stalk-local

Published on 08 Nov 2022 - 21:45

258

Views

Ideals of localization of $\mathbb{Z}$ at prime $(p)$

Published on 09 Nov 2022 - 2:39

49

Views

Value of a function on the structure sheaf in $\mathbb{A}_k^2$

Published on 28 Mar 2026 - 9:32

219

Views

Why, exactly, does the derived category localisation factor through the "homotopy category" of cochain complexes?

Published on 12 Nov 2022 - 20:26

258

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The only point of $\operatorname{Spec} (k[x,y] /(y^2,xy))$ with nonreduced stalk is the origin

Published on 28 Mar 2026 - 9:28

78

Views

Localization of a differential ring

Published on 22 Nov 2022 - 0:54

19

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When does $((A/P)[x])_{\bar{Q}} \simeq ((A/P)_P[x])_{\bar{Q}} $ hold?

Published on 23 Mar 2026 - 16:50

144

Views

Proving that an $A$-module map between $S^{-1}A$-modules is in fact an $S^{-1}A$-module map using just universal property

Published on 23 Nov 2022 - 13:43

83

Views

Algebraic independence and localization.

Published on 23 Feb 2026 - 6:06

List Question

The field of formal laurent series viewed as a polynomial ring

"Correct" definition of localisation of modules using universal property

Why is for an algebraically closed field $k$, $\mathbb{A}^1_k \setminus \{0\} \simeq \operatorname{Spec} k[x, x^{-1}]$

function on structure sheaf and its values at points

A module of finite type and localization

Ideals of a PID and Localization

Noetherian property is not stalk-local

Ideals of localization of $\mathbb{Z}$ at prime $(p)$

Value of a function on the structure sheaf in $\mathbb{A}_k^2$

Why, exactly, does the derived category localisation factor through the "homotopy category" of cochain complexes?

The only point of $\operatorname{Spec} (k[x,y] /(y^2,xy))$ with nonreduced stalk is the origin

Localization of a differential ring

When does $((A/P)[x])_{\bar{Q}} \simeq ((A/P)_P[x])_{\bar{Q}} $ hold?

Proving that an $A$-module map between $S^{-1}A$-modules is in fact an $S^{-1}A$-module map using just universal property

Algebraic independence and localization.

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