{
  "id": "math/0702052",
  "version": "v2",
  "published": "2007-02-02T14:21:30.000Z",
  "updated": "2007-05-14T01:31:42.000Z",
  "title": "Ehrhart series and lattice triangulations",
  "authors": [
    "Sam Payne"
  ],
  "comment": "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.",
  "categories": [
    "math.CO"
  ],
  "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-05-14T01:31:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B20"
    ],
    "keywords": [
      "lattice triangulations",
      "ehrhart series",
      "rational polyhedral cone",
      "local contributions",
      "multivariate analogues"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2052P"
    }
  }
}