Explicit reduction theory for SU(2,1;Z[i])

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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.
26 pages, 5 figures

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Number Theory, 11F57 (Primary), 53C35 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/107388

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601071
 http://arxiv.org/abs/math/0601071

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arXiv