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arXiv math/0508202math.GRmath.GT
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Goldman-Parker猜想的一个更好的证明

A better proof of the Goldman-Parker conjecture

Richard Evan Schwartz

摘要:

Goldman-Parker猜想将复双曲C-反射理想三角形群分类到离散。我们在[Ann. of Math.153(2001)533- 598]中用严格的计算机辅助证明了Goldman-Parker猜想。本文给出了Goldman-Parker猜想的一个新的改进证明。虽然证明依赖于计算机的广泛指导,但证明本身是传统的。

英文摘要:

The Goldman-Parker Conjecture classifies the complex hyperbolic C-reflection ideal triangle groups up to discreteness. We proved the Goldman-Parker Conjecture in [Ann. of Math. 153 (2001) 533--598] using a rigorous computer-assisted proof. In this paper we give a new and improved proof of the Goldman-Parker Conjecture. While the proof relies on the computer for extensive guidance, the proof itself is traditional.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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