Picard group
id:
picard-group-283-16269065
title:
Picard group
text:
In mathematics, the Picard group of a ringed space X, denoted by Pic(X), is the group of isomorphism classes of invertible sheaves (or line bundles) on X, with the group operation being tensor product. This construction is a global version of the construction of the divisor class group, or ideal class group, and is much used in algebraic geometry and the theory of complex manifolds. Alternatively, the Picard group can be defined as the sheaf cohomology group For integral schemes the Picard group
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical group occurring in algebraic geometry and the theory of complex manifolds
original url:
https://en.wikipedia.org/wiki/Picard_group
date created:
date modified:
2024-02-11T16:54:24Z
main entity:
{"identifier":"Q2042963","url":"https://www.wikidata.org/entity/Q2042963"}
image:
fields total:
13
integrity:
14