A note on lattice-face polytopes and their Ehrhart polynomials
Combinatorics
2008-10-28 v1
Abstract
We give a new definition of lattice-face polytopes by removing an unnecessary restriction in the paper "Ehrhart polynomials of lattice-face polytopes", and show that with the new definition, the Ehrhart polynomial of a lattice-face polytope still has the property that each coefficient is the normalized volume of a projection of the original polytope. Furthermore, we show that the new family of lattice-face polytopes contains all possible combinatorial types of rational polytopes.
Cite
@article{arxiv.0810.4655,
title = {A note on lattice-face polytopes and their Ehrhart polynomials},
author = {Fu Liu},
journal= {arXiv preprint arXiv:0810.4655},
year = {2008}
}
Comments
11 pages