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Mathematics  2010 

On volumes of arithmetic quotients of PO(n,1), n odd

DOI: 10.1112/plms/pds009

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Abstract:

We determine the minimal volume of arithmetic hyperbolic orientable n-dimensional orbifolds (compact and non-compact) for every odd dimension n>3. Combined with the previously known results it solves the minimal volume problem for arithmetic hyperbolic n-orbifolds in all dimensions.

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