Plurisubharmonic variation of the leafwise Poincare metric

被引：16

作者：

Brunella, M ^{[1
]}

机构：

[1] CNRS UMR 5584, Lab Topol, Dijon, France

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2003年 / 14卷 / 02期

关键词：

holomorphic foliations; uniformisation; holomorphic convexity;

D O I：

10.1142/S0129167X03001697

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with a higher dimensional generalization of the main result of our previous paper [2]: we shall prove that the Poincare metric on the leaves of a one-dimensional holomorphic foliation on a compact Kahler manifold has a plurisubharmonic variation.

引用

页码：139 / 151

页数：13

共 15 条

[1]

Bogomolov F., 2001, RATIONAL CURVES FOLI

[2]

BRUNELLA M, IN PRESS INVENT MATH

[3]

Campana F, 2000, J ALGEBRAIC GEOM, V9, P223

[4]

CAMPANA F, 1994, EMS, V74