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arxiv: 1001.4670 · v2 · pith:FS7CYU5Wnew · submitted 2010-01-26 · 🧮 math.GR · math.GT· math.NT

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

classification 🧮 math.GR math.GTmath.NT
keywords arithmetichyperbolicminimalvolumecombinedcompactdeterminedimension
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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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