Hyperbolic tessellations associated to Bianchi groups
Abstract
Let F/Q be number field. The space of positive definite binary Hermitian forms over F form an open cone in a real vector space. There is a natural decomposition of this cone into subcones, which descend give rise to hyperbolic tessellations of 3dimensional hyperbolic space by ideal polytopes. We compute the structure of these polytopes for a range of imaginary quadratic fields.
 Publication:

arXiv eprints
 Pub Date:
 August 2009
 DOI:
 10.48550/arXiv.0908.1762
 arXiv:
 arXiv:0908.1762
 Bibcode:
 2009arXiv0908.1762Y
 Keywords:

 Mathematics  Number Theory;
 Mathematics  Combinatorics;
 11E39;
 05B45
 EPrint:
 8 pages, 4 tables. Tables revised