Positivity on subvarieties and vanishing of higher cohomology

We study the relationship between positivity of line bundles restricted to complete intersection subvarieties and the vanishing of higher cohomology groups. Based on this connection we prove generalizations of the vanishing theorems of Kawamata-Viehweg and Fujita that are valid for not necessarily b...

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Bibliographic Details
Published in:arXiv.org 2010-12
Main Author: Kuronya, Alex
Format: Article
Language:English
Subjects:
Homology
Online Access:Get full text
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Summary:We study the relationship between positivity of line bundles restricted to complete intersection subvarieties and the vanishing of higher cohomology groups. Based on this connection we prove generalizations of the vanishing theorems of Kawamata-Viehweg and Fujita that are valid for not necessarily big line bundles.
ISSN:2331-8422