Dualizing sheaf
id:
dualizing-sheaf-195-9095782
title:
Dualizing sheaf
text:
In algebraic geometry, the dualizing sheaf on a proper scheme X of dimension n over a field k is a coherent sheaf ω X together with a linear functional that induces a natural isomorphism of vector spaces for each coherent sheaf F on X. The linear functional t X is called a trace morphism. A pair , if it is exists, is unique up to a natural isomorphism. In fact, in the language of category theory, ω X is an object representing the contravariant functor F ↦ H n ∗ from the category of coherent sh
brand slug:
wiki
category slug:
encyclopedia
description:
Concept from algebraic geometry
original url:
https://en.wikipedia.org/wiki/Dualizing_sheaf
date created:
date modified:
2023-12-15T03:34:06Z
main entity:
{"identifier":"Q55610054","url":"https://www.wikidata.org/entity/Q55610054"}
image:
fields total:
13
integrity:
14