| 涉及复代数超曲面的全纯映射正规族 |
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| 引用本文： | 曹红哲.涉及复代数超曲面的全纯映射正规族[J].数学杂志,2015,35(1):69-74. |
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| 作者姓名： | 曹红哲 |
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| 作者单位： | 南昌大学数学系,江西南昌,330031 |
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| 基金项目： | Supported by the NSFC (11401291; 11101201) and NSF of ED of Jiangxi (GJJ13077). |
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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。
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| 关 键 词： | 正规族 全纯映射 超曲面 值分布理论 |
| 收稿时间： | 2013/12/21 0:00:00 |
| 修稿时间： | 2014/2/25 0:00:00 |
NORMAL FAMILIES OF HOLOMORPHIC MAPPINGS FROM CM INTO Pn(C) WITH SOME FIXED HYPERSURFACES |
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| CAO Hong-zhe.NORMAL FAMILIES OF HOLOMORPHIC MAPPINGS FROM CM INTO Pn(C) WITH SOME FIXED HYPERSURFACES[J].Journal of Mathematics,2015,35(1):69-74. |
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| Authors: | CAO Hong-zhe |
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| Institution: | Department of Mathematics, Nanchang University, Nanchang 330031, China |
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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 Krantz1] 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. |
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| Keywords: | normal families holomorphic mappings hypersurfaces value distribution the-ory |
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