A Note on Lattice-face Polytopes and Their Ehrhart Polynomials

نویسنده

  • FU LIU
چکیده

We give a new definition of lattice-face polytopes by removing an unnecessary restriction in [6], 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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تاریخ انتشار 2008