Kodaira vanishing theorem
id:
kodaira-vanishing-theorem-269-471904
title:
Kodaira vanishing theorem
text:
In mathematics, the Kodaira vanishing theorem is a basic result of complex manifold theory and complex algebraic geometry, describing general conditions under which sheaf cohomology groups with indices q > 0 are automatically zero. The implications for the group with index q = 0 is usually that its dimension — the number of independent global sections — coincides with a holomorphic Euler characteristic that can be computed using the Hirzebruch–Riemann–Roch theorem.
brand slug:
wiki
category slug:
encyclopedia
description:
Gives general conditions under which sheaf cohomology groups with indices > 0 are zero
original url:
https://en.wikipedia.org/wiki/Kodaira_vanishing_theorem
date created:
date modified:
2024-04-26T19:33:59Z
main entity:
{"identifier":"Q2518048","url":"https://www.wikidata.org/entity/Q2518048"}
image:
fields total:
13
integrity:
14