Volumes of Picard Modular Surfaces

@inproceedings{Stover2011VolumesOP,
  title={Volumes of Picard Modular Surfaces},
  author={Matthew Stover and Alexander N. Dranishnikov},
  year={2011}
}
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 2manifold of minimal volume covers one of these two orbifolds. We also give all minimal volume manifolds that simultaneously cover both minimal orbifolds. 

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