English

Integral cohomology of certain Picard modular surfaces

Number Theory 2007-09-10 v1

Abstract

Let Gamma be a congruence subgroup of the Picard modular group of an imaginary number field k, and let D be the associated symmetric space. We describe a method to compute the integral cohomology of the locally symmetric space Gamma\D. The method is implemented for the case k=Q(i) and k=Q(sqrt(-3)), and the cohomology is computed for various Gamma.

Keywords

Cite

@article{arxiv.0709.1121,
  title  = {Integral cohomology of certain Picard modular surfaces},
  author = {Dan Yasaki},
  journal= {arXiv preprint arXiv:0709.1121},
  year   = {2007}
}

Comments

14 pages, 2 figures, 6 tables

R2 v1 2026-06-21T09:15:07.509Z