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arXiv · 0806.3942

A note on palindromic $δ$-vectors for certain rational polytopes

Matthew H. J. Fiset·Alexander M. Kasprzyk
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Abstract

Let P be a convex polytope containing the origin, whose dual is a lattice polytope. Hibi's Palindromic Theorem tells us that if P is also a lattice polytope then the Ehrhart $δ$-vector of P is palindromic. Perhaps less well-known is that a similar result holds when P is rational. We present an elementary lattice-point proof of this fact.

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Matthew H. J. Fiset, Alexander M. Kasprzyk. 2008-06-24. A note on palindromic $δ$-vectors for certain rational polytopes. https://doi.org/10.37236/893

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