{
  "id": "1708.00413",
  "version": "v1",
  "published": "2017-08-01T17:00:56.000Z",
  "updated": "2017-08-01T17:00:56.000Z",
  "title": "Classification of lattice polytopes with small volumes",
  "authors": [
    "Takayuki Hibi",
    "Akiyoshi Tsuchiya"
  ],
  "comment": "21 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "Taking into consideration the fact that a complete characterization of the $\\delta$-polynomials of lattice polytopes whose normalized volume are at most $4$ is known, it is reasonable to classify, up to unimodular equivalence, the lattice polytopes whose normalized volumes are at most $4$. We will do this job.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-01T17:00:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B12",
      "52B20"
    ],
    "keywords": [
      "lattice polytopes",
      "small volumes",
      "classification",
      "normalized volume"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}