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| 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. |
| 关键词: 正规族 全纯映射 超曲面 值分布理论 |
| DOI： |
| 分类号:O174.56;O174.52 |
| 基金项目:Supported by the NSFC (11401291; 11101201) and NSF of ED of Jiangxi (GJJ13077). |
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| NORMAL FAMILIES OF HOLOMORPHIC MAPPINGS FROM CM INTO Pn(C) WITH SOME FIXED HYPERSURFACES |
|
CAO Hong-zhe
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| Abstract: |
| 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 holomorphic mappings of several complex variables into Pn(C), the n-dimensional complex projective space, related to some special hypersurfaces. |
| Key words: normal families holomorphic mappings hypersurfaces value distribution theory |
