中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
COMPLEX HYPERBOLIC (3, 3, n) TRIANGLE GROUPS

文献类型:期刊论文

作者Parker, John R.1; Wang, Jieyan2; Xie, Baohua3
刊名PACIFIC JOURNAL OF MATHEMATICS
出版日期2016-02-01
卷号280期号:2页码:433-453
关键词complex hyperbolic geometry complex hyperbolic triangle groups
ISSN号0030-8730
DOI10.2140/pjm.2016.280.433
英文摘要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.
资助项目NSFC[11071059] ; NSFC[11371126] ; NSFC[11201134] ; Young Teachers Support program of Hunan University
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000369278100008
出版者PACIFIC JOURNAL MATHEMATICS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21894]  
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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