Sheaf of algebras
id:
sheaf-of-algebras-300-12718510
title:
Sheaf of algebras
text:
In algebraic geometry, a sheaf of algebras on a ringed space X is a sheaf of commutative rings on X that is also a sheaf of O X -modules. It is quasi-coherent if it is so as a module. When X is a scheme, just like a ring, one can take the global Spec of a quasi-coherent sheaf of algebras: this results in the contravariant functor Spec X from the category of quasi-coherent O X -algebras on X to the category of schemes that are affine over X. Moreover, it is an equivalence: the quasi-inverse is gi
brand slug:
wiki
category slug:
encyclopedia
description:
Type of ringed space
original url:
https://en.wikipedia.org/wiki/Sheaf_of_algebras
date created:
date modified:
2023-11-23T16:55:07Z
main entity:
{"identifier":"Q48971898","url":"https://www.wikidata.org/entity/Q48971898"}
image:
fields total:
13
integrity:
14