Integral cohomology of certain Picard modular surfaces

Details Integral cohomology of certain Picard modular surfaces Integral cohomology of certain Picard modular surfaces

2007-09-07

arxiv.org/abs/0709.1121v1

Mathematics

Number Theory

14 pages, 2 figures, 6 tables

Scientific paper

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.

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