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.
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页码：567 / 584
页数：18
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