Hodge index theorem
id:
hodge-index-theorem-275-15277066
title:
Hodge index theorem
text:
In mathematics, the Hodge index theorem for an algebraic surface V determines the signature of the intersection pairing on the algebraic curves C on V. It says, roughly speaking, that the space spanned by such curves (up to linear equivalence) has a one-dimensional subspace on which it is positive definite (not uniquely determined), and decomposes as a direct sum of some such one-dimensional subspace, and a complementary subspace on which it is negative definite. In a more formal statement, spec
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Hodge_index_theorem
date created:
date modified:
2023-05-21T04:59:25Z
main entity:
{"identifier":"Q5876058","url":"https://www.wikidata.org/entity/Q5876058"}
image:
fields total:
13
integrity:
13