{
  "id": "0705.1942",
  "version": "v3",
  "published": "2007-05-14T13:36:46.000Z",
  "updated": "2007-10-17T10:31:08.000Z",
  "title": "Ideals of varieties parameterized by certain symmetric tensors",
  "authors": [
    "Alessandra Bernardi"
  ],
  "comment": "19 pages",
  "journal": "Journ. of P. and A. Algebra, 212, (2008), 6, pp. 1542-1559",
  "doi": "10.1016/j.jpaa.2007.10.022",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "The ideal of a Segre variety is generated by the 2-minors of a generic hypermatrix of indeterminates. We extend this result to the case of Segre-Veronese varieties. The main tool is the concept of weak generic hypermatrix which allows us to treat also the case of projection of Veronese surfaces from a set of generic points and of Veronese varieties from a Cohen-Macaulay subvariety of codimension 2.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-10-17T10:31:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14N05",
      "14J26",
      "14M15"
    ],
    "keywords": [
      "symmetric tensors",
      "weak generic hypermatrix",
      "cohen-macaulay subvariety",
      "segre variety"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.1942B"
    }
  }
}