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- Title
The geometry of the Gauss-Picard modular group.
- Authors
Falbel, Elisha; Francsics, Gábor; Parker, John R.
- Abstract
We give a construction of a fundamental domain for $${{\rm PU}(2,1,\mathbb{Z} [i])}$$, that is the group of holomorphic isometries of complex hyperbolic space with coefficients in the Gaussian ring of integers $${\mathbb{Z} [i]}$$. We obtain from that construction a presentation of that lattice and relate it, in particular, to lattices constructed by Mostow.
- Publication
Mathematische Annalen, 2011, Vol 349, Issue 2, p459
- ISSN
0025-5831
- Publication type
Article
- DOI
10.1007/s00208-010-0515-5