×

A note on palindromic delta-vectors for certain rational polytopes. (English) Zbl 1163.05304

Summary: 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.

MSC:

05A15 Exact enumeration problems, generating functions
11H06 Lattices and convex bodies (number-theoretic aspects)
PDFBibTeX XMLCite
Full Text: arXiv EuDML EMIS