Cusps of arithmetic orbifolds

Details Cusps of arithmetic orbifolds Cusps of arithmetic orbifolds

2006-06-22

arxiv.org/abs/math/0606571v1

Mathematics

Geometric Topology

76 pages; Ph.D. thesis

Scientific paper

This thesis investigates cusp cross-sections of arithmetic real, complex, and
quaternionic hyperbolic $n$--orbifolds. We give a smooth classification of
these submanifolds and analyze their induced geometry. One of the primary tools
is a new subgroup separability result for general arithmetic lattices.

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