Remarks on Arithmetic Restricted Volumes and Arithmetic Base Loci

  • Hideaki Ikoma

    Kyoto University, Japan

Abstract

We collect some fundamental properties of arithmetic restricted volumes (or arithmetic multiplicities) of adelically metrized line bundles. Every arithmetic restricted volume has the concavity property and characterizes the corresponding arithmetic augmented base locus as the null locus.We also establish a generalized Fujita approximation for arithmetic restricted volumes.

Cite this article

Hideaki Ikoma, Remarks on Arithmetic Restricted Volumes and Arithmetic Base Loci. Publ. Res. Inst. Math. Sci. 52 (2016), no. 4, pp. 435–495

DOI 10.4171/PRIMS/187