Ehrhart series and lattice triangulations
Abstract
Description
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.
10 pages. v2: corrected attribution of Corollary 3.1, clarified computations in examples in Section 4, improved exposition. To appear in Discr. Comput. Geom
10 pages. v2: corrected attribution of Corollary 3.1, clarified computations in examples in Section 4, improved exposition. To appear in Discr. Comput. Geom