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Hyperbolic Tessellations Associated to Bianchi Groups

  • Dan Yasaki
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6197)

Abstract

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.

Keywords

Modular Form Elliptic Curf Class Number Real Vector Space Polyhedral Cone 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Dan Yasaki
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of North Carolina at GreensboroGreensboroUSA

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