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A minimal volume arithmetic cusped complex hyperbolic orbifold

Published online by Cambridge University Press:  08 October 2010

TIEHONG ZHAO
TIEHONG ZHAO*
Affiliation:
Institut de Mathématiques, Université Pierre et Marie Curie, 4, Place Jussieu, F-75252 Paris, France. e-mail: [email protected]
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Abstract

The sister of Eisenstein–Picard modular group is described explicitly in [10], whose quotient is a noncompact arithmetic complex hyperbolic 2-orbifold of minimal volume (see [16]). We give a construction of a fundamental domain for this group. A presentation of that lattice can be obtained from that construction, which relates to one of Mostow's lattices.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 150 , Issue 2 , March 2011 , pp. 313 - 342
Copyright
Copyright © Cambridge Philosophical Society 2010

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References

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