Dirichlet polyhedra for parabolic cyclic groups in complex hyperbolic space |
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| Authors: | John R. Parker |
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| Affiliation: | (1) Mathematics Institute, University of Warwick, CV4 7AL Coventry, England;(2) Present address: Department of Mathematical Sciences, University of Durham, DH1 3LE Durham, England |
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| Abstract: | We consider cyclic groupsG generated by an ellipto-parabolic isometry of complex hyperbolic space. We show that the Dirichlet fundamental polyhedron forG centred atz0 has two faces ifz0 is on the axis of the generator, otherwise it has infinitely many faces. |
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| Keywords: | 22E40 32M15 |
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