Remarks on Arithmetic Restricted Volumes and Arithmetic Base Loci

被引：3
|
作者：
Ikoma, Hideaki [1 ]
机构：
[1] Kyoto Univ, Dept Math, Fac Sci, Sakyo Ku, Kitashirakawa Oiwake Cho, Kyoto 6068502, Japan
来源：
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2016年 / 52卷 / 04期
关键词：
Arakelov theory; linear series; restricted volumes; base loci; OKOUNKOV BODIES; BUNDLES;
D O I：
10.4171/PRIMS/187
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：435 / 495
页数：61
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