Volumes of Picard Modular Surfaces

  title={Volumes of Picard Modular Surfaces},
  author={Matthew Stover and Alexander N. Dranishnikov},
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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Publications referenced by this paper.
Showing 1-10 of 10 references

Enumeration of the 50 fake projective planes

  • Donald I. Cartwright, Tim Steger
  • C. R. Math. Acad. Sci. Paris
  • 2010
1 Excerpt

On volumes of arithmetic quotients of PO(n

  • Mikhail Belolipetsky, Vincent Emery
  • n odd, preprint,
  • 2010
1 Excerpt

The geometry of the Eisenstein-Picard modular group

  • Elisha Falbel, John R. Parker
  • Duke Math. J
  • 2006
1 Excerpt

Complex hyperbolic geometry, Oxford Mathematical Monographs

  • William M. Goldman
  • 1999
1 Excerpt

Geometry of nonpositively curved manifolds, Chicago Lectures in Mathematics

  • Patrick B. Eberlein
  • 1996
1 Excerpt

An elementary account of Selberg’s lemma, Enseign

  • Roger C. Alperin
  • 1987
1 Excerpt

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