A note on lattice-face polytopes and their Ehrhart polynomials

Details A note on lattice-face polytopes and their Ehrhart polynomials A note on lattice-face polytopes and their Ehrhart polynomials

2008-10-26

arxiv.org/abs/0810.4655v1

Mathematics

Combinatorics

11 pages

Scientific paper

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.

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