On Volumes of Arithmetic Line Bundles

Details On Volumes of Arithmetic Line Bundles On Volumes of Arithmetic Line Bundles

2008-11-03

arxiv.org/abs/0811.0226v2

Mathematics

Algebraic Geometry

21 pages

Scientific paper

We show an arithmetic generalization of the recent work of Lazarsfeld-Mustata
which uses Okounkov bodies to study linear series of line bundles. As
applications, we derive a log-concavity inequality on volumes of arithmetic
line bundles and an arithmetic Fujita approximation theorem for big line
bundles.

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