A Second Main Theorem of Nevanlinna Theory for Closed Subschemes in Subgeneral Position

被引：1

作者：

Yu, Guangsheng ^{[1
]}

机构：

[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Zhejiang, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2022年 / 43卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Second main theorem; In general position; Closed subscheme; Seshadri constant; Schmidt's subspace theorem; Hyperbolicity; SUBSPACE THEOREM; HOLOMORPHIC-CURVES;

D O I：

10.1007/s11401-022-0346-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by using Seshadri constants for subschemes, the author establishes a second main theorem of Nevanlinna theory for holomorphic curves intersecting closed subschemes in (weak) subgeneral position. As an application of his second main theorem, he obtain a Brody hyperbolicity result for the complement of nef effective divisors. He also give the corresponding Schmidt's subspace theorem and arithmetic hyperbolicity result in Diophantine approximation.

引用

页码：567 / 584

页数：18

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