Local cohomology
id:
local-cohomology-293-9204132
title:
Local cohomology
text:
In algebraic geometry, local cohomology is an algebraic analogue of relative cohomology. Alexander Grothendieck introduced it in seminars in Harvard in 1961 written up by Hartshorne (1967), and in 1961-2 at IHES written up as SGA2 - Grothendieck (1968), republished as Grothendieck (2005). Given a function defined on an open subset of an algebraic variety, local cohomology measures the obstruction to extending that function to a larger domain. The rational function 1 / x , for example, is defined
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in algebraic geometry
original url:
https://en.wikipedia.org/wiki/Local_cohomology
date created:
date modified:
2024-04-22T05:02:42Z
main entity:
{"identifier":"Q6664297","url":"https://www.wikidata.org/entity/Q6664297"}
image:
fields total:
13
integrity:
14