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

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 $\delta$-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.

4 pages

References in corpus (1)

• Maximal Periods of (Ehrhart) Quasi-Polynomials

Cited by in corpus (6)

• Minkowski Polynomials and Mutations
• The volume of Kähler-Einstein Fano varieties and convex bodies
• The boundary volume of a lattice polytope
• An Extension of hibi's palindromic theorem
• Lattice-point generating functions for free sums of convex sets
• Rational Ehrhart Theory