U. Rehmann and E. Vinberg: On a phenomenon discovered by Heinz Helling

rehmann@math.uni-bielefeld.de, evinberg@gmail.com

Submission: 2016, Sep 4

The hyperbolic 3-manifolds fibered over the circle with fiber a once punctured t orus are considered. Surprisingly, in all of about 200 cases, where the class numbers of their trace fields were calculated, they turned to be equal to one.

2010 Mathematics Subject Classification: 20G20

Keywords and Phrases: hyperbolic 3-manifolds, trace fields, class numbers

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