Uniformization of the leaves of a rational vector field

被引：18

作者：

Candel, A ^{[1
]}

GomezMont, X ^{[1
]}

机构：

[1] CIMAT,GUANAJUATO 36000,MEXICO

来源：

ANNALES DE L INSTITUT FOURIER | 1995年 / 45卷 / 04期

关键词：

holomorphic foliations; uniformization;

D O I：

10.5802/aif.1488

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the analytic structure of the leaves of a holomorphic foliation by curves on a compact complex manifold. We show that if every leaf is a hyperbolic surface then they can be simultaneously uniformized in a continuous manner. In case the manifold is complex projective space a sufficient condition is that there are no algebraic leaf.

引用

页码：1123 / &

页数：12

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