Cusps of Picard modular surfaces
Geometric Topology
2011-07-21 v2 Number Theory
Abstract
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.
Cite
@article{arxiv.1005.1980,
title = {Cusps of Picard modular surfaces},
author = {Matthew Stover},
journal= {arXiv preprint arXiv:1005.1980},
year = {2011}
}
Comments
To appear in Geom. Dedicata