A solid angle theory for real polytopes

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dc.creatorDeSario, David
dc.creatorRobins, Sinai
dc.date2007-07-31
dc.date.accessioned2026-07-07T08:21:40Z
dc.date.available2026-07-07T08:21:40Z
dc.descriptionWe extend many theorems from the context of solid angle sums over rational polytopes to the context of solid angle sums over real polytopes. Moreover, we consider any real dilation parameter, as opposed to the traditional integer dilation parameters. One of the main results is an extension of Macdonald's solid angle quasipolynomial for rational polytopes to a real analytic function of the dilation parameter, for any real convex polytope.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0708.0042
dc.identifierhttp://arxiv.org/abs/0708.0042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135397
dc.subjectCombinatorics
dc.subjectCommutative Algebra
dc.titleA solid angle theory for real polytopes
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