{
  "id": "0711.4393",
  "version": "v1",
  "published": "2007-11-28T15:07:05.000Z",
  "updated": "2007-11-28T15:07:05.000Z",
  "title": "Lattice points in Minkowski sums",
  "authors": [
    "Christian Haase",
    "Benjamin Nill",
    "Andreas Paffenholz",
    "Francisco Santos"
  ],
  "comment": "5 pages, 4 figures",
  "journal": "Electron J. Combin. 15(1) 2008, Note 11, 5 pp",
  "categories": [
    "math.CO",
    "math.AC",
    "math.AG"
  ],
  "abstract": "Fakhruddin has proved that for two lattice polygons P and Q any lattice point in their Minkowski sum can be written as a sum of a lattice point in P and one in Q, provided P is smooth and the normal fan of P is a subdivision of the normal fan of Q. We give a shorter combinatorial proof of this fact that does not need the smoothness assumption on P.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-28T15:07:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B20",
      "14M25"
    ],
    "keywords": [
      "lattice point",
      "minkowski sum",
      "normal fan",
      "shorter combinatorial proof",
      "lattice polygons"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.4393H"
    }
  }
}