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

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

2008-06-24

arxiv.org/abs/0806.3942v1

Electronic Journal of Combinatorics, 15 (2008), #N18

Mathematics

Combinatorics

4 pages

Scientific paper

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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