{
  "id": "0809.1701",
  "version": "v1",
  "published": "2008-09-10T03:08:21.000Z",
  "updated": "2008-09-10T03:08:21.000Z",
  "title": "Secant Varieties of (P ^1) X .... X (P ^1) (n-times) are NOT Defective for n \\geq 5",
  "authors": [
    "M. V. Catalisano",
    "A. Geramita",
    "A. Gimigliano"
  ],
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "Let V_n be the Segre embedding of (P^1) x ... X (P^1) (n times). We prove that the higher secant varieties, \\sigma_s(V_n), always have the expected dimension, except for \\sigma_3(V_4), which is of dimension 1 less than expected.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-10T03:08:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N15",
      "14M99"
    ],
    "keywords": [
      "higher secant varieties",
      "expected dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.1701C"
    }
  }
}