complex projective spaces;
extension theorems;
hyperplanes in general position;
meromorphic mappings;
non-negative divisors;
normal families;
Picard type theorems;
D O I:
10.1006/jmaa.2000.6770
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We shall prove some meromorphic normality criteria for families of meromorphic mappings of several complex variables into P-N(C), the complex N-dimensional projective space, related to Nochka's Picard type theorems. Some related results (e.g., extension theorems, improved normality criteria, and quasi-normality criteria) will be obtained also. The technique in this paper mainly depends on Stoll's normality criteria for families of non-negative divisors on a domain of C-n. (C) 2002 Elsevier Science (USA).
机构:
Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R ChinaChangshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China
Chang, Jianming
Xu, Yan
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机构:
Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R ChinaChangshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China
Xu, Yan
Yang, Liu
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机构:
Anhui Univ Technol, Dept Appl Math, Maanshan 243032, Anhui, Peoples R ChinaChangshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China