{
  "id": "1111.1428",
  "version": "v2",
  "published": "2011-11-06T15:50:13.000Z",
  "updated": "2013-04-21T07:23:47.000Z",
  "title": "Gaps in the pairs (border rank,symmetric rank) for symmetric tensors",
  "authors": [
    "Edoardo Ballico"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Fix integers $m \\ge 2$, $s\\ge 5$ and $d\\ge 2s+2$. Here we describe the possible symmetric tensor ranks $\\le 2d+s-7$ of all symmetric tensors (or homogeneous degree $d$ polynomials) in $m+1$ variables with border rank $s$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-21T07:23:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N05",
      "15A69"
    ],
    "keywords": [
      "border rank",
      "symmetric rank",
      "symmetric tensor ranks",
      "fix integers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.1428B"
    }
  }
}