{
  "id": "0706.4178",
  "version": "v3",
  "published": "2007-06-28T10:11:34.000Z",
  "updated": "2009-01-13T08:45:48.000Z",
  "title": "Lattice polytopes of degree 2",
  "authors": [
    "Jaron Treutlein"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "A theorem of Scott gives an upper bound for the normalized volume of lattice polygons with exactly $i>0$ interior lattice points. We will show that the same bound is true for the normalized volume of lattice polytopes of degree 2 even in higher dimensions. In particular, there is only a finite number of quadratic polynomials with fixed leading coefficient being the $h^*$-polynomial of a lattice polytope.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-01-13T08:45:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B20"
    ],
    "keywords": [
      "lattice polytope",
      "interior lattice points",
      "normalized volume",
      "lattice polygons",
      "upper bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.4178T"
    }
  }
}