Arakelov Theory on Arithmetic Surfaces Over a Trivially Valued Field

被引：0
|
作者：
Chen, Huayi [1 ]
Moriwaki, Atsushi [2 ]
机构：
[1] Univ Paris, Sorbonne Univ, Inst Math Jussieu Paris Rive Gauche, CNRS, F-75013 Paris, France
[2] Kyoto Univ, Fac Sci, Dept Math, Kyoto 6068502, Japan
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2023年 / 2023卷 / 07期
关键词：
DIRICHLETS UNIT THEOREM; LINE BUNDLES;
D O I：
10.1093/imrn/rnab302
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we consider an analogue of Arakelov theory of arithmetic surfaces over a trivially valued field. In particular, we establish an arithmetic Hilbert-Samuel theorem and study the effectivity up to R-linear equivalence of pseudoeffective metrised R-divisors.
引用
收藏
页码：5473 / 5537
页数：65
相关论文
共 50 条
12345