Volumes of Picard modular surfaces
Geometric Topology
2011-02-03 v2
Abstract
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 arithmetic cusped complex hyperbolic 2-manifold of minimal volume covers one of these two orbifolds. We also give all minimal volume manifolds that simultaneously cover both minimal orbifolds.
Cite
@article{arxiv.1005.4436,
title = {Volumes of Picard modular surfaces},
author = {Matthew Stover},
journal= {arXiv preprint arXiv:1005.4436},
year = {2011}
}
Comments
To appear in Proceedings of the AMS