Sam Payne
Published 2007-02-02, updated 2007-05-14Version 2
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.
Comments: 10 pages. v2: corrected attribution of Corollary 3.1, clarified computations in examples in Section 4, improved exposition. To appear in Discr. Comput. Geom
Journal: Discr. Comput. Geom. 40 (2008), 365--376.
Computations of volumes and Ehrhart series in four candidates elections
Weighted Ehrhart Theory: Extending Stanley's nonnegativity theorem
Ehrhart series, unimodality, and integrally closed reflexive polytopes
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