An explicit spine for the Picard modular group over the Gaussian integers

JOURNAL OF NUMBER THEORY

卷:128

Article

Yasaki, Dan

关键词: spine;    Picard modular group;    locally symmetric space;    cohomology of arithmetic subgroups;   

DOI  :  10.1016/j.jnt.2007.03.008

来源: Elsevier

【 摘 要 】

Let Gamma\D be an arithmetic quotient of a symmetric space of non-compact type. A spine D-0 is a Gamma-equivariant deformation retraction of D with dimension equal to the virtual cohomological dimension of Gamma. We explicitly construct a spine for the case of Gamma = SU(2, 1; Z[i]). The spine is then used to Compute the cohomology of Gamma\D with various local coefficients. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

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