English

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

Combinatorics 2022-10-28 v1

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\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.

Keywords

Cite

@article{arxiv.0806.3942,
  title  = {A note on palindromic $\delta$-vectors for certain rational polytopes},
  author = {Matthew H. J. Fiset and Alexander M. Kasprzyk},
  journal= {arXiv preprint arXiv:0806.3942},
  year   = {2022}
}

Comments

4 pages

R2 v1 2026-06-21T10:53:56.281Z