Hyperbolic tessellations associated to Bianchi groups

Details Hyperbolic tessellations associated to Bianchi groups Hyperbolic tessellations associated to Bianchi groups

2009-08-12

arxiv.org/abs/0908.1762v2

Mathematics

Number Theory

8 pages, 4 tables. Tables revised

Scientific paper

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 3-dimensional hyperbolic space by ideal polytopes. We compute the structure of these polytopes for a range of imaginary quadratic fields.

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