Normal Criteria for a Family of Holomorphic Curves

被引：0

作者：

Sun, Daochun ^{[1
]}

Huo, Yingying ^{[2
]}

Chai, Fujie ^{[3
]}

机构：

[1] South China Normal Univ, Sch Math, Guangzhou 510631, Peoples R China

[2] Guangdong Univ Technol, Sch Appl Math, Guangzhou 510520, Peoples R China

[3] Guangdong Univ Finance, Sch Financial Math & Stat, Guangzhou 510521, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2021年 / 41卷 / 06期

基金：

中国国家自然科学基金;

关键词：

complex projective spaces; holomorphic curves; holomorphic mappings; normal families; restricted hyperplanes; MEROMORPHIC FUNCTIONS; MAPPINGS; MAPS;

D O I：

10.1007/s10473-021-0606-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we extend the concept of holomorphic curves sharing hyperplanes and introduce definitions of restricted hyperplanes and partial shared hypersurfaces. Then, we prove several normal criteria of the family of holomorphic curves and holomorphic mappings that concern restricted hyperplanes and partial shared hypersurfaces. These results generalize the Montel-type normal criterion of holomorphic curves.

引用

页码：1887 / 1895

页数：9

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