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Ehrhart analogue of the h-vector

Kalle Karu
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Abstract

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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Kalle Karu. 2006-07-12. Ehrhart analogue of the h-vector. https://arxiv.org/abs/math/0607286

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