Ehrhart Series and Lattice Triangulations

Abstract We express the generating function for lattice points in a rational polyhedral cone with a simplicial subdivision in terms of multivariate analogues of the h-polynomials of the subdivision and "local contributions" of the links of its nonunimodular faces. We also compute new examples of nonunimodal h-vectors of reflexive polytopes.

• Type: Journal
• Year: 2008
• Where: DCG
• Authors: Sam Payne
• Keywords: DCG 2008, Generating Function, Rational Polyhedral Cone, Simplicial Subdivision