Hodge cycle
id:
hodge-cycle-172-8245569
title:
Hodge cycle
text:
In differential geometry, a Hodge cycle or Hodge class is a particular kind of homology class defined on a complex algebraic variety V, or more generally on a Kähler manifold. A homology class x in a homology group
- H k = H where V is a non-singular complex algebraic variety or Kähler manifold is a Hodge cycle, provided it satisfies two conditions. Firstly, k is an even integer 2 p, and in the direct sum decomposition of H shown to exist in Hodge theory, x is purely of type. Secondly, x is a
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Hodge_cycle
date created:
2004-08-13T15:12:30Z
date modified:
2024-09-01T23:00:38Z
main entity:
{"identifier":"Q5876056","url":"https://www.wikidata.org/entity/Q5876056"}
image:
fields total:
13
integrity:
14