{
  "id": "1112.5041",
  "version": "v3",
  "published": "2011-12-21T14:57:57.000Z",
  "updated": "2013-03-26T10:57:47.000Z",
  "title": "Minimality of toric arrangements",
  "authors": [
    "Giacomo d'Antonio",
    "Emanuele Delucchi"
  ],
  "comment": "Exposition improved, details added, typos corrected; 46 pages, 5 figures. To appear in Journal of the European Mathematical Society",
  "categories": [
    "math.CO",
    "math.AT"
  ],
  "abstract": "We prove that the complement of a toric arrangement has the homotopy type of a minimal CW complex. As a corollary we obtain that the integer cohomology of these spaces is torsion free. We use Discrete Morse Theory, providing a sequence of cellular collapses that leads to a minimal complex.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-03-26T10:57:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C35",
      "32S22",
      "55U10",
      "18A30"
    ],
    "keywords": [
      "toric arrangement",
      "minimality",
      "discrete morse theory",
      "minimal cw complex",
      "homotopy type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 46,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.5041D"
    }
  }
}