a1 School of Mathematics, Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USA (email: firstname.lastname@example.org)
We show an arithmetic generalization of the recent work of Lazarsfeld–Mustaţǎ 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.
(Received November 12 2008)
(Accepted March 05 2009)
2000 Mathematics Subject Classification
The author is fully supported by a research fellowship of the Clay Mathematics Institute.