Ehrhart analogue of the h-vector

Mathematics – Algebraic Geometry

Scientific paper

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7 pages, Snowbird talk

Scientific paper

We consider a formula of Stanley that expresses the Ehrhart generating
polynomial of a polyhedral complex in terms of the h-polynomials of toric
varieties. We prove that the coefficients in this expression are all
non-negative and show that these coefficients can be found using the
decomposition theorem in intersection cohomology.

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