On meromorphically normal families of meromorphic mappings of several complex variables into PN(C)

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:267

Article

Tu, ZH

关键词: complex projective spaces;    extension theorems;    hyperplanes in general position;    meromorphic mappings;    non-negative divisors;    normal families;    Picard type theorems;   

DOI  :  10.1006/jmaa.2000.6770

来源: Elsevier

【 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).

【 授权许可】

Free