Positivity on subvarieties and vanishing of higher cohomology

2010/12/06 by Alex Kuronya, Kuronya, Alex
Mathematics · #14C20 #14J40 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14C20 #msc:14J40

paper · pdf · doi:10.48550/arxiv.1012.1102

16 pages

arxiv created 2010/12/06 · arxiv updated 2010/12/07

Abstract

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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