Two dimensional Veronese groups with an invariant ball

2015/11/24 by Angel Cano, Cano, Angel, Luis Loeza +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1511.07810

arxiv created 2017/06/08 · arxiv updated 2017/06/12

Abstract

In this article we characterize the complex hyperbolic groups that leave invariant a copy of the Veronese curve in ℙ²_ℂ. As a corollary we get that every discrete compact surface group in \PO⁺(2,1) admits a deformation in \PSL(3,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 ℙ²_ℂ.

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