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On the convergence of arithmetic orbifolds. (arXiv:1311.5375v2 [math.GT] UPDATED)
来源于:arXiv
We discuss the geometry of some arithmetic orbifolds locally isometric to a
product of real hyperbolic spaces of dimension two and three, and prove that
certain sequences of non-uniform orbifolds are convergent to this space in a
geometric ("Benjamini--Schramm") sense for hyperbolic three--space and a
product of hyperbolic planes. We also deal with arbitrary sequences of maximal
arithmetic three--dimensional hyperbolic lattices defined over a quadratic or
cubic field. A motivating application is the study of Betti numbers of Bianchi
groups. 查看全文>>