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

页码：5473 / 5537

页数：65

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