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

Matthew H. J. Fiset and Alexander M. Kasprzyk

Arxiv ID: 0806.3942•Last 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.

#### PaperStudio AI Chat

I'm your research assistant! Ask me anything about this paper.