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arXiv 1003.0380math.DSmath.CV
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极限集中无限直线位于一般位置的二维复Kleinian群

A 2-dimensional Complex Kleinian Group With Infinite Lines in the Limit Set Lying in General Position

Waldemar Barrera, Angel Cano, Juan Pablo Navarrete

摘要:

本文给出了一个离散群$Σ_\C\subset PSL(3,\Bbb{R})$的例子,它在$¶^2$上的作用不具有不变射影子空间,不与复双曲群共轭,并且它在$\Bbb{P}^2_\Bbb{C}$上的Kulkarni意义下的极限集在一般位置上有无穷多条线.

英文摘要:

In this article we present an example of a discrete group $Σ_\C\subset PSL(3,\Bbb{R})$ whose action on $¶^2$ does no have invariant projective subspaces, is not conjugated to complex hyperbolic group and its limit set in the sense of Kulkarni on $\Bbb{P}^2_\Bbb{C}$ has infinite lines in general position.

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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