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math.GT2010
Volumes of Picard modular surfaces
Matthew Stover
We show that the conjectural cusped complex hyperbolic 2-orbifolds of minimal volume are the two smallest arithmetic complex hyperbolic 2-orbifolds. We then show that every arithme…
math.GT2010
Cusps of Picard modular surfaces
Matthew Stover
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 >…