{
  "id": "math/0111162",
  "version": "v3",
  "published": "2001-11-14T10:49:54.000Z",
  "updated": "2002-12-04T10:00:56.000Z",
  "title": "Unimodular covers of multiples of polytopes",
  "authors": [
    "Winfried Bruns",
    "Joseph Gubeladze"
  ],
  "comment": "13 pages, uses pstricks and mathptm The revised version has been thoroughly rewritten",
  "categories": [
    "math.CO"
  ],
  "abstract": "Let P be a d-dimensional lattice polytope. We show that there exists a natural number c_d, only depending on d, such that the multiples cP have a unimodular cover for every natural number c >= c_d. Actually, a subexponential upper bound for c_d is provided, together with an analogous result for unimodular covers of rational cones.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-12-04T10:00:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B20",
      "52C07"
    ],
    "keywords": [
      "unimodular cover",
      "natural number",
      "d-dimensional lattice polytope",
      "subexponential upper bound",
      "multiples cp"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....11162B"
    }
  }
}