Ehrhart series and lattice triangulations

Details Ehrhart series and lattice triangulations Ehrhart series and lattice triangulations

2007-02-02

arxiv.org/abs/math/0702052v2

Discr. Comput. Geom. 40 (2008), 365--376.

Mathematics

Combinatorics

10 pages. v2: corrected attribution of Corollary 3.1, clarified computations in examples in Section 4, improved exposition. To

Scientific paper

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.

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