ON THE EXISTENCE OF SINGULAR DIRECTIONS OF HOLOMORPHIC MAPS FROM THE UNIT DISK INTO Pn(C)

被引：0

作者：

Tu Zhenhan ^{[1
]}

Zhang Shasha ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2010年 / 30卷 / 05期

基金：

中国国家自然科学基金;

关键词：

complex projective spaces; holomorphic mapping; Julia direction; Picard's theorem; value distribution theory; COMPLEX-VARIABLES; NORMALITY; PRINCIPLE; FAMILIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article proves the existence of Julia directions of value distribution of holomorphic mapping f from the unit disk into the n-dimensional complex projective space P-n(C) under the assumption lim(r -> 1-)sup T(r, f)/log 1/1-r = +infinity for hypersurfaces in general position. A heuristic pri:nciple concerning the existence of Julia directions of holomorphic mappings from the unit disk into P-n(C) is given also.

引用

页码：1631 / 1639

页数：9