Integral cohomology of certain Picard modular surfaces

2007/09/07 by Yasaki, Dan
#11F75 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0709.1121

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.

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