Positivity on subvarieties and vanishing of higher cohomology

Details Positivity on subvarieties and vanishing of higher cohomology Positivity on subvarieties and vanishing of higher cohomology

2010-12-06

arxiv.org/abs/1012.1102v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

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.

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