Sheaf of modules
id:
sheaf-of-modules-300-15486876
title:
Sheaf of modules
text:
In mathematics, a sheaf of O-modules or simply an O-module over a ringed space (X, O) is a sheaf F such that, for any open subset U of X, F(U) is an O(U)-module and the restriction maps F(U) → F(V) are compatible with the restriction maps O(U) → O(V): the restriction of fs is the restriction of f times the restriction of s for any f in O(U) and s in F(U). The standard case is when X is a scheme and O its structure sheaf. If O is the constant sheaf Z _ , then a sheaf of O-modules is the same as a
brand slug:
wiki
category slug:
encyclopedia
description:
Sheaf consisting of modules on a ringed space; generalizing vector bundles
original url:
https://en.wikipedia.org/wiki/Sheaf_of_modules
date created:
date modified:
2024-03-30T20:45:50Z
main entity:
{"identifier":"Q18695611","url":"https://www.wikidata.org/entity/Q18695611"}
image:
fields total:
13
integrity:
14