A note on palindromic $\delta$-vectors for certain rational polytopes

Matthew H. J. Fiset and Alexander M. Kasprzyk
Arxiv ID: 0806.3942Last updated: 10/28/2022
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 $\delta$-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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