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
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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 |
DOI | 10.2140/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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