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arXiv · 1511.07810

Two dimensional Veronese groups with an invariant ball

Angel Cano·Luis Loeza
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Abstract

In this article we characterize the complex hyperbolic groups that leave invariant a copy of the Veronese curve in $\Bbb{P}^2_{\Bbb{C}}$. As a corollary we get that every discrete compact surface group in $\PO^+(2,1)$ admits a deformation in $\PSL(3,\Bbb{C})$ with a non-empty region of discontinuity which is not conjugate to a complex hyperbolic subgroup. This provides a way to construct new examples of Kleinian groups acting on $\Bbb{P}^2_\Bbb{C}$.

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Angel Cano, Luis Loeza. 2015-11-24. Two dimensional Veronese groups with an invariant ball. https://arxiv.org/abs/1511.07810

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