An effective Schmidt's subspace theorem for arbitrary hypersurfaces over function fields

被引：1

作者：

Le, Giang ^{[1
]}

机构：

[1] HaNoi Natl Univ Educ, Dept Math, 136 Xuan Thuy, Hanoi, Vietnam

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2023年 / 19卷 / 02期

关键词：

Schmidt's subspace theorem over function fields; analogue of Nevanlinna theory in Diophantine approximation; Thue equation; PROJECTIVE VARIETIES;

D O I：

10.1142/S179304212350015X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish an effective version of Schmidt's subspace theorem on a smooth projective variety chi over function fields of characteristic zero for arbitrary family of hypersurfaces. We also show an application to study a general Thue equation over function fields.

引用

页码：331 / 346

页数：16

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