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.
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页码：145 / 176
页数：32
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