Ehrhart polynomials of cyclic polytopes

Details Ehrhart polynomials of cyclic polytopes Ehrhart polynomials of cyclic polytopes

2004-09-20

arxiv.org/abs/math/0409337v2

Mathematics

Combinatorics

15 pages

Scientific paper

The Ehrhart polynomial of an integral convex polytope counts the number of lattice points in dilates of the polytope. In math.CO/0402148, the authors conjectured that for any cyclic polytope with integral parameters, the Ehrhart polynomial of it is equal to its volume plus the Ehrhart polynomial of its lower envelope and proved the case when the dimension d = 2. In our article, we prove the conjecture for any dimension.

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