Weak Cartan-type Second Main Theorem for Holomorphic Curves

作     者：Qi Ming YAN Zhi Hua CHEN 

作者机构：Department of Mathematics Tongji University Shanghai 200092 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2008年第24卷第3期

页      面：455-462页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：the National Natural Science Foundation of China (No.10571135) Doctoral Program Foundation of the Ministry of Education of China (No.20050240711) Foundation of Committee of Science and Technology of Shanghai(03JC14027) 

主　　题：holomorphic curve Nevanlinna Theory second main theorem hypersurface 

摘      要：In this paper, a weak Cartan-type second theorem for holomorphic curve f ： C→P^n（C） intersecting hypersurfaces Dj, 1≤j≤q, in P^n（C） in general position with degree dj is given as follows： For every ε〉0, there exists a positive integer M such that ｜｜（q - （n ＋ 1） ε）Tf（r）≤∑j^q=1 1/dj Nf^M（r,Dj）＋o（Tf（r））, where ＂｜｜＂ means the estimate holds for all large r outside a set of finite Lebesgue measure.