manuscripta mathematica

, Volume 95, Issue 4, pp 431-436

First online:

On the proof of Humbert's volume formula

  • F. GrunewaldAffiliated withMathematisches Institut der Universität, Universitätsstraße 1, D–40225 Düsseldorf, Germany.¶e-mail: fritz@math.uni-duesseldorf.de
  • , S. KühnleinAffiliated withMathematisches Institut II der Universität, D–76128 Karlsruhe, Germany

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Abstract:

We close a gap in Humbert's classical calculation of the volume of the quotient of three-dimensional hyperbolic space by SL2 over the ring of integers of an imaginary quadratic number field.

Mathematics Subject Classification (1991): 11F06, 11H06, 11S40