{
  "id": "0903.0643",
  "version": "v1",
  "published": "2009-03-04T20:48:08.000Z",
  "updated": "2009-03-04T20:48:08.000Z",
  "title": "Cones and convex bodies with modular face lattices",
  "authors": [
    "D. Labardini-Fragoso",
    "M. Neumann-Coto",
    "M. Takane"
  ],
  "comment": "12 pags, 1 figure",
  "categories": [
    "math.GT",
    "math.MG"
  ],
  "abstract": "If a convex body C has modular and irreducible face lattice (and is not strictly convex), there is a face-preserving homeomorphism from C to a section of a cone of hermitian matrices or C has dimension 8, 14 or 26.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-04T20:48:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A20",
      "06C05",
      "51A05",
      "15A48"
    ],
    "keywords": [
      "modular face lattices",
      "convex body",
      "irreducible face lattice",
      "hermitian matrices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.0643L"
    }
  }
}