A subspace theorem for subvarieties

被引：20

作者：

Ru, Min ^{[1
,2
]}

Wang, Julie Tzu-Yueh ^{[1
,3
]}

机构：

[1] East China Normal Univ, Dept Math, Shanghai, Peoples R China

[2] Univ Houston, Dept Math, Houston, TX 77204 USA

[3] Acad Sinica, Inst Math, Taipei, Taiwan

来源：

ALGEBRA & NUMBER THEORY | 2017年 / 11卷 / 10期

关键词：

Schmidt's subspace theorem; Roth's theorem; Diophantine approximation; Vojta's conjecture;

D O I：

10.2140/ant.2017.11.2323

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a height inequality, in terms of an (ample) line bundle, for a sum of subschemes located in l-subgeneral position in an algebraic variety, which extends a result of McKinnon and Roth (2015). The inequality obtained in this paper connects the result of McKinnon and Roth (the case when the subschemes are points) and the results of Corvaja and Zannier (2004), Evertse and Ferretti (2008), Ru (2017), and Ru and Vojta (2016) (the case when the subschemes are divisors). Furthermore, our approach gives an alternative short and simpler proof of McKinnon and Roth's result.

引用

页码：2323 / 2337

页数：15

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