English

Singularities of ball quotients

Algebraic Geometry 2010-07-28 v1

Abstract

We prove a result on the singularities of ball quotients Γ\\CCHn\Gamma\backslash\CC H^n. More precisely, we show that a ball quotient has canonical singularities under certain restrictions on the dimension nn and the underlying lattice. We also extend this result to the toroidal compactification (Γ\\CCHn)(\Gamma\backslash\CC H^n)^*.

Keywords

Cite

@article{arxiv.1007.4736,
  title  = {Singularities of ball quotients},
  author = {Niko Behrens},
  journal= {arXiv preprint arXiv:1007.4736},
  year   = {2010}
}

Comments

22 pages

R2 v1 2026-06-21T15:53:39.334Z