LIMIT CURRENTS AND VALUE DISTRIBUTION OF HOLOMORPHIC MAPS

被引：9

作者：

Burns, Daniel ^{[1
]}

Sibony, Nessim ^{[2
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Univ Paris 11, Dept Math, UMR 8628, F-91405 Orsay, France

来源：

ANNALES DE L INSTITUT FOURIER | 2012年 / 62卷 / 01期

基金：

美国国家科学基金会;

关键词：

Ahlfors currents; Brody's theorem; value distribution theory; equidistribution; GROWTH; AREA;

D O I：

10.5802/aif.2703

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct d-closed and dd(c)-closed positive currents associated to a holomorphic map phi via cluster points of normalized weighted truncated image currents. They are constructed using analogues of the Ahlfors length-area inequality in higher dimensions. Such classes of currents are also referred to as Ahlfors currents. We give some applications to equidistribution problems in value distribution theory.

引用

页码：145 / 176

页数：32

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