{
  "id": "1202.1741",
  "version": "v1",
  "published": "2012-02-08T15:42:40.000Z",
  "updated": "2012-02-08T15:42:40.000Z",
  "title": "A criterion for detecting the identifiability of symmetric tensors of size three",
  "authors": [
    "Edoardo Ballico",
    "Luca Chiantini"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove a criterion for the identifiability of symmetric tensors $P$ of type $3\\times ...\\times 3$, $d$ times, whose rank $k$ is bounded by $(d^2+2d)/8$. The criterion is based on the study of the Hilbert function of a set of points $P_1,..., P_k$ which computes the rank of the tensor $P$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-08T15:42:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N05",
      "15A69"
    ],
    "keywords": [
      "symmetric tensors",
      "identifiability",
      "hilbert function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.1741B"
    }
  }
}