涉及复代数超曲面的全纯映射正规族（英文）  

NORMAL FAMILIES OF HOLOMORPHIC MAPPINGS FROM C^M INTO P^n(C) WITH SOME FIXED HYPERSURFACES

作　　者：曹红哲[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《数学杂志》2015年第1期69-74,共6页Journal of Mathematics

基　　金：Supported by the NSFC(11401291;11101201);NSF of ED of Jiangxi(GJJ13077)

摘　　要：本文研究了涉及固定超曲面的全纯映照的正规性问题.利用Aladro和Krantz对全纯映射族正规性的刻画和Shirosahi建立的一系列涉及一些特殊复代数超曲面的Picard型定理,得到了全纯映射族的一些正规定则.In this paper, we study the normal families of meromorphic mappings. Applying the heuristic principle in several complex variables obtained by Aladro and Krantz [1] and some Picard theorems given by M. Shirosahi, we shall prove some normality criterias for families of holo- morphic mappings of several complex variables into pn （C）, the n-dimensional complex projective space, related to some special hypersurfaees.

关 键 词：正规族 全纯映射 超曲面 值分布理论 

分 类 号：O174.56[理学—数学] O174.52[理学—基础数学]