A note on palindromic δ-vectors for certain rational polytopes

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Fiset, Matthew and Kasprzyk, Alexander M. (2008) A note on palindromic δ-vectors for certain rational polytopes. Electronic Journal of Combinatorics, 15 . N18/1-N18/4. ISSN 1077-8926

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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-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.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/704825
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
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http://www.combinatorics.org
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Depositing User: Kasprzyk, Dr Alexander
Date Deposited: 12 Nov 2015 14:05
Last Modified: 04 May 2020 16:27
URI: https://eprints.nottingham.ac.uk/id/eprint/30719

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