Cusps of Picard modular surfaces

Details Cusps of Picard modular surfaces Cusps of Picard modular surfaces

2010-05-12

arxiv.org/abs/1005.1980v2

Mathematics

Geometric Topology

To appear in Geom. Dedicata

Scientific paper

We determine the number of cusps of minimal Picard modular surfaces. The
proof also counts cusps of other Picard modular surfaces of arithmetic
interest. Consequently, for each N > 0 there are finitely many commensurability
classes of nonuniform arithmetic lattices in SU(2, 1) that contain an N-cusped
surface. We also discuss a higher-rank analogue.

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