Integral cohomology of certain Picard modular surfaces

JOURNAL OF NUMBER THEORY

卷:134

Article

Yasaki, Dan

关键词: Picard modular group;    Locally symmetric space;    Cohomology of arithmetic subgroups;    Spine;   

DOI  :  10.1016/j.jnt.2013.07.015

来源: Elsevier

【 摘 要 】

Let (Gamma) over bar be the Picard modular group of an imaginary quadratic number field k and let D be the associated symmetric space. Let Gamma subset of (Gamma) over bar be a congruence subgroup. We describe a method to compute the integral cohomology of the locally symmetric space Gamma\D. The method is implemented for the cases k = Q(i) and k = Q(root-3), and the cohomology is computed for various Gamma. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free