Nakano vanishing theorem
id:
nakano-vanishing-theorem-194-18783333
title:
Nakano vanishing theorem
text:
In mathematics, specifically in the study of vector bundles over complex Kähler manifolds, the Nakano vanishing theorem, sometimes called the Akizuki–Nakano vanishing theorem, generalizes the Kodaira vanishing theorem. Given a compact complex manifold M with a holomorphic line bundle F over M, the Nakano vanishing theorem provides a condition on when the cohomology groups H q ( M ; Ω p ( F ) ) equal zero. Here, Ω p ( F ) denotes the sheaf of holomorphic (p,0)-forms taking values on F. The theore
brand slug:
wiki
category slug:
encyclopedia
description:
Generalizes the Kodaira vanishing theorem
original url:
https://en.wikipedia.org/wiki/Nakano_vanishing_theorem
date created:
date modified:
2023-03-05T07:41:17Z
main entity:
{"identifier":"Q48968385","url":"https://www.wikidata.org/entity/Q48968385"}
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13
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14