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Cusps of arithmetic orbifolds

D. B. McReynolds

math.GTarXiv:math/0606571

Abstract

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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