Hyperbolic Tessellations Associated to Bianchi Groups

@inproceedings{Yasaki2010HyperbolicTA,
  title={Hyperbolic Tessellations Associated to Bianchi Groups},
  author={Dan Yasaki},
  booktitle={ANTS},
  year={2010}
}
  • D. Yasaki
  • Published in ANTS 12 August 2009
  • Mathematics
Let F/ℚ be a 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. In the case of an imaginary quadratic field these subcones descend to hyperbolic space to give rise to 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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