{
  "id": "math/0507500",
  "version": "v1",
  "published": "2005-07-24T20:55:42.000Z",
  "updated": "2005-07-24T20:55:42.000Z",
  "title": "Lattices generated by skeletons of reflexive polytopes",
  "authors": [
    "Christian Haase",
    "Benjamin Nill"
  ],
  "comment": "6 pages, 5 figures",
  "categories": [
    "math.CO",
    "math.AG"
  ],
  "abstract": "Lattices generated by lattice points in skeletons of reflexive polytopes are essential in determining the fundamental group and integral cohomology of Calabi-Yau hypersurfaces. Here we prove that the lattice generated by all lattice points in a reflexive polytope is already generated by lattice points in codimension two faces. This answers a question of J. Morgan.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-07-24T20:55:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B20"
    ],
    "keywords": [
      "reflexive polytope",
      "lattice points",
      "fundamental group",
      "calabi-yau hypersurfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......7500H"
    }
  }
}