The degenerated second main theorem and Schmidt's subspace theorem

被引：26

作者：

Chen ZhiHua ^{[1
]}

Ru Min ^{[2
]}

Yan QiMing ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[2] Univ Houston, Dept Math, Houston, TX 77004 USA

来源：

SCIENCE CHINA-MATHEMATICS | 2012年 / 55卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Nevanlinna theory; holomorphic curve; Second Main Theorem; Diophantine approximation; Schmidt's Subspace Theorem; HOLOMORPHIC-CURVES; INEQUALITIES; VARIETIES; FORM;

D O I：

10.1007/s11425-012-4378-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a Second Main Theorem for an algebraically degenerate holomorphic curve f: a", -> a"(TM) (n) (a",) intersecting hypersurfaces in general position. The related Diophantine problems are also considered.

引用

页码：1367 / 1380

页数：14

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