Remarks on the arithmetic restricted volumes and the arithmetic base loci
Algebraic Geometry
2016-07-19 v5
Abstract
In this paper, we collect some fundamental properties of the arithmetic restricted volumes (or the arithmetic multiplicities) of the adelically metrized line bundles. The arithmetic restricted volume has the concavity property and characterizes the arithmetic augmented base locus as the null locus. We also show a generalized Fujita approximation for the arithmetic restricted volumes.
Cite
@article{arxiv.1411.6816,
title = {Remarks on the arithmetic restricted volumes and the arithmetic base loci},
author = {Hideaki Ikoma},
journal= {arXiv preprint arXiv:1411.6816},
year = {2016}
}
Comments
51 pages. to appear in Publ. RIMS