Two-dimensional Veronese groups with an invariant ball
Por:
Cano, Angel, Loeza, Luis
Publicada:
1 sep 2017
Categoría:
Mathematics (miscellaneous)
Resumen:
In this paper, we characterize the complex hyperbolic groups that leave
invariant a copy of the Veronese curve in P-C(2). As a corollary we get
that every discrete compact surface group in PO+(2, 1) admits a
deformation in PSL(3, C) 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 P-C(2.)
Filiaciones:
Cano, Angel:
UNAM, UCIM, Unidad Cuernavaca, Ave Univ S-N Col Lomas Chamilpa, Cuernavaca 62210, Morelos, Mexico
Loeza, Luis:
UACJ, IIT, Ave Charro 610 Norte, Ciudad Juarez 32310, Chihuahua, Mexico
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