2014/11/25 by Hideaki Ikoma, Ikoma, Hideaki
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #math.AG
paper · pdf · doi:10.48550/arxiv.1411.6816
51 pages. to appear in Publ. RIMS
openalex publication_date 2014/11/25 · arxiv created 2016/07/16 · arxiv updated 2016/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.