The moduli space of the modular group in complex hyperbolic geometry

被引：17
作者：
Falbel, E
Parker, JR
机构：
[1] Univ Paris 06, Inst Math, F-75252 Paris, France
[2] Univ Durham, Dept Math Sci, Durham DH1 3LE, England
来源：
INVENTIONES MATHEMATICAE | 2003年 / 152卷 / 01期
关键词：
D O I：
10.1007/s00222-002-0267-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct the space of discrete, faithful, type-preserving representations of the modular group into the isometry group of complex hyperbolic 2-space up to conjugacy. This is the first Fuchsian group for which the entire complex hyperbolic deformation space has been constructed. We also show how the C-spheres of Falbel-Zocca are related to the R-spheres (hybrid spheres) of Schwartz.
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页码：57 / 88
页数：32
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