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n维复投影空间上全纯曲线值分布的Julia方向

THE JULIA DIRECTIONS OF THE VALUE DISTRIBUTION OF HOLOMORPHIC CURVES IN P^n(C)
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摘要 本文研究了值分布的一个分支-幅角分布论中的Julia方向存在性定理.利用A.Eremenko得到的Picard型定理建立了复投影空间上的全纯曲线与代数超曲面相联系的Julia方向存在性定理;并给出一例子作为对定理的补充. In this paper, we discuss the Julia directions of the argument distribution theory, which is one active topic of the value distribution theory. Following the theorem of Tu and using A. Eremenko's Picard- type theorem, we obtain Julia direction existence theorems for holomorphic curves in related to algebraic hypersurfaces located in general positions And an example is given to illustrate our results.
作者 王冰冰
出处 《数学杂志》 CSCD 北大核心 2009年第4期505-508,共4页 Journal of Mathematics
关键词 代数超曲面 复投影空间 全纯曲线 JULIA方向 值分布理论 Algebric hypersurfaees complex projective space, holomorphic eurves Julia directions value distribution theory
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  • 1Aladro G. Applications of the Kobayashi metric to normal functions of several complex variables. Utilitas Math, 1987, 31:13-24
  • 2Aladro G, Krantz S G. A criterion for normality in C^n. J Math Anal Appl, 1991, 161:1-8
  • 3Green M. Holomorphic maps into complex projective space omitting hyperplanes. Trans Amer Math Soc, 1972, 169:89-103
  • 4He Yuzan, Xiao Xiuzhi. Algebroid Functions and Ordinary Differential Equations. Beijing: Science Press, 1988 (in Chinese)
  • 5Lang S. Introduction to Complex Hyperbolic Spaces. Springer, 1987
  • 6Lu Y N, Gu Y X. On the existence of Borel's directions of algebroid functions. Chinese Sci Bull, 1983, 28:264-266
  • 7Julia G. Sur quelques proprietes nouvelles des fonctions entieres ou m6romorphes. Ann Ecole Norm Sup, 1916, 36: 93-125. Ibid, 1920, 37:165-218
  • 8Milloux H. Le theoreme de Picard, suites de fonctions holomorphes, fonctions holomorphes et fonctions entieres. J de Math, 1924, 3:345-401
  • 9Nochka E. On the theory of meromorphic functions. Soviet Math Dokl, 1983, 27:377-381
  • 10Noguchi J, Ochiai T. Geometric Function Theory in Several Complex Variables. In: Translations Math Monographs Vol 80. Providence, R I: Amer Math Soc, 1990

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