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

Mathematics – Group Theory

Scientific paper

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34 pages, final revision, to appear in Proc. LMS

Scientific paper

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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