COMPLEX HYPERBOLIC (3, 3, n) TRIANGLE GROUPS

doi:10.2140/pjm.2016.280.433

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	COMPLEX HYPERBOLIC (3, 3, n) TRIANGLE GROUPS
	Parker, John R.1; Wang, Jieyan 2; Xie, Baohua 3
	2016-02-01
发表期刊	PACIFIC JOURNAL OF MATHEMATICS
ISSN	0030-8730
卷号	280 期号:2 页码:433-453
摘要	Let p, q, r be positive integers. Complex hyperbolic (p, q, r) triangle groups are representations of the hyperbolic (p, q, r) reflection triangle group to the holomorphic isometry group of complex hyperbolic space H-C(2), where the generators fix complex lines. In this paper, we obtain all the discrete and faithful complex hyperbolic (3, 3, n) triangle groups for n >= 4. Our result solves a conjecture of Schwartz in the case when p = q = 3.
关键词	complex hyperbolic geometry complex hyperbolic triangle groups
DOI	10.2140/pjm.2016.280.433
语种	英语
资助项目	NSFC[11071059] ; NSFC[11371126] ; NSFC[11201134] ; Young Teachers Support program of Hunan University
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000369278100008
出版者	PACIFIC JOURNAL MATHEMATICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21895
专题	中国科学院数学与系统科学研究院
通讯作者	Parker, John R.; Wang, Jieyan; Xie, Baohua
作者单位	1.Univ Durham, Dept Math Sci, Durham DH1 3LE, England 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
推荐引用方式 GB/T 7714	Parker, John R.,Wang, Jieyan,Xie, Baohua. COMPLEX HYPERBOLIC (3, 3, n) TRIANGLE GROUPS[J]. PACIFIC JOURNAL OF MATHEMATICS,2016,280(2):433-453.
APA	Parker, John R.,Wang, Jieyan,&Xie, Baohua.(2016).COMPLEX HYPERBOLIC (3, 3, n) TRIANGLE GROUPS.PACIFIC JOURNAL OF MATHEMATICS,280(2),433-453.
MLA	Parker, John R.,et al."COMPLEX HYPERBOLIC (3, 3, n) TRIANGLE GROUPS".PACIFIC JOURNAL OF MATHEMATICS 280.2(2016):433-453.