Abstract
In this paper, we characterize the complex hyperbolic groups that leave invariant a copy of the Veronese curve in [Formula: see text]. As a corollary we get that every discrete compact surface group in [Formula: see text] admits a deformation in [Formula: see text] with a nonempty 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 [Formula: see text].
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