English

The topology of the Eisenstein-Picard modular surface

Geometric Topology 2023-10-09 v1

Abstract

The Eisenstein-Picard modular surface MM is the quotient space of the complex hyperbolic plane by the modular group PU(2,1;Z[ω])\rm PU(2,1; \mathbb{Z}[\omega]). We determine the global topology of MM as a 4-orbifold.

Keywords

Cite

@article{arxiv.2310.03955,
  title  = {The topology of the Eisenstein-Picard modular surface},
  author = {Jiming Ma and Baohua Xie},
  journal= {arXiv preprint arXiv:2310.03955},
  year   = {2023}
}