Value distribution of leafwise holomorphic maps on complex laminations by hyperbolic Riemann surfaces

被引：2

作者：

Atsuji, Atsushi ^{[1
]}

机构：

[1] Keio Univ, Dept Math, 3-14-1 Hiyoshi, Yokohama, Kanagawa 2238522, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2017年 / 69卷 / 02期

基金：

日本学术振兴会;

关键词：

Nevanlinna theory; complex lamination; value distribution theory; holomorphic diffusion; FOLIATIONS; MANIFOLDS; THEOREM; UNIFORMIZATION; MARTINGALES; EQUATION; SETS;

D O I：

10.2969/jmsj/06920477

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the value distribution of Borel measurable maps which are holomorphic along leaves of complex laminations. In the case of complex lamination by hyperbolic Riemann surfaces with an ergodic harmonic measure, we have a defect relation appearing in Nevanlinna theory. It gives a bound of the number of omitted hyperplanes in general position by those maps.

引用

页码：477 / 501

页数：25

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