On a theorem of Brion

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dc.creatorHuettemann, Thomas
dc.date2006-07-12
dc.date2006-07-25
dc.date.accessioned2026-07-07T07:18:17Z
dc.date.available2026-07-07T07:18:17Z
dc.descriptionWe give an elementary geometric re-proof of a formula discovered by Michel Brion as well as two variants thereof. A subset of R^n gives rise to a formal Laurent series with monomials corresponding to lattice points in the set. Under suitable hypotheses, these series represent rational functions. We will prove formulae relating the rational function of a lattice polytope P to the sum of rational functions corresponding to the supporting cones subtended at the vertices of P. The exposition should be suitable for everyone with a little background in topology.
dc.description11 pages, 3 figures; v2: references updated, minor typos corrected
dc.identifierhttps://arxiv.org/abs/math/0607297
dc.identifierhttp://arxiv.org/abs/math/0607297
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114245
dc.subjectCombinatorics
dc.subjectGeneral Topology
dc.subject52B20; 05A19
dc.titleOn a theorem of Brion
dc.typetext

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