{
  "id": "1612.08918",
  "version": "v1",
  "published": "2016-12-28T16:15:00.000Z",
  "updated": "2016-12-28T16:15:00.000Z",
  "title": "Three-dimensional lattice polytopes with two interior lattice points",
  "authors": [
    "Gabriele Balletti",
    "Alexander M. Kasprzyk"
  ],
  "comment": "16 pages, 5 figures, 5 tables",
  "categories": [
    "math.CO"
  ],
  "abstract": "We classify the three-dimensional lattice polytopes with two interior lattice points. Up to unimodular equivalence there are 22,673,449 such polytopes. This classification allows us to verify, for this case only, a conjectural upper bound for the volume of a lattice polytope with interior points, and provides strong evidence for new conjectural inequalities on the coefficients of the Ehrhart polynomial in dimension three.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-28T16:15:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B20",
      "52B10"
    ],
    "keywords": [
      "interior lattice points",
      "three-dimensional lattice polytopes",
      "conjectural upper bound",
      "ehrhart polynomial",
      "unimodular equivalence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}