On the universal cover of certain exotic Kahler surfaces of negative curvature

被引：11

作者：

Deraux, M ^{[1
]}

机构：

[1] Ecole Polytech, Ctr Math, F-91128 Palaiseau, France

来源：

MATHEMATISCHE ANNALEN | 2004年 / 329卷 / 04期

关键词：

Riemann Surface; Holomorphic Function; Symmetric Space; Fundamental Group; Universal Cover;

D O I：

10.1007/s00208-004-0531-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a class of examples of negatively curved compact Kahler surfaces that are not diffeomorphic to any locally symmetric space. From the analysis of certain totally geodesic curves on these surfaces we deduce that, for infinitely many examples, the natural representation of the fundamental group into PU(2,1) is non-faithful. We also give a new construction of bounded holomorphic functions on the universal cover of our surfaces, based on lifting maps to compact Riemann surfaces.

引用

页码：653 / 683

页数：31

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[2]

DERAUX M, 2001, THESIS U UTAH

[3]

FOX RH, 1957, S HON S LEFSCH, P243

[4]

Mostow G.D., 1988, J AM MATH SOC, V1, P555