Ideal triangle groups, dented tori, and numerical analysis
Ideal triangle groups, dented tori, and numerical analysis
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DOI：
10.2307/2661362
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发表时间：
2001-05
影响因子：
4.9
通讯作者：
R. Schwartz
中科院分区：
文献类型：
--
作者：
R. Schwartz
We prove the Goldman-Parker Conjecture: A complex hyperbolic ideal triangle group is discretely embedded in PU(2, 1) if and only if the product of its three standard generators is not elliptic. We also prove that such a group is indiscrete if the product of its three standard generators is elliptic. A novel feature of this paper is that it uses a rigorous computer assisted proof to deal with difficult geometric estimates.
