%0 Journal Article
%T On a theorem of Brion
%A Thomas Huettemann
%J Mathematics
%D 2006
%I arXiv
%X We 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.
%U http://arxiv.org/abs/math/0607297v2