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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2008
- DOI:
- 10.48550/arXiv.0806.3942
- arXiv:
- arXiv:0806.3942
- Bibcode:
- 2008arXiv0806.3942F
- Keywords:
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- Mathematics - Combinatorics;
- 05A15;
- 11H06
- E-Print:
- 4 pages