{
  "id": "math/0609054",
  "version": "v2",
  "published": "2006-09-02T02:04:44.000Z",
  "updated": "2006-09-06T19:24:16.000Z",
  "title": "On the ideals of Secant Varieties to certain rational varieties",
  "authors": [
    "M. V. Catalisano",
    "A. V. Geramita",
    "A. Gimigliano"
  ],
  "comment": "17 pages, minor changes for section 3 and references",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "If $\\X \\subset \\P^n$ is a reduced and irreducible projective variety, it is interesting to find the equations describing the (higher) secant varieties of $\\X$. In this paper we find those equations in the following cases: $\\X = \\P^{n_1}\\times...\\times\\P^{n_t}\\times\\P^n$ is the Segre embedding of the product and $n$ is \"large\" with respect to the $n_i$ (Theorem 2.4); $\\X$ is a Segre-Veronese embedding of some products with 2 or three factors; $\\X$ is a Del Pezzo surface.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-09-06T19:24:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M12",
      "14M99"
    ],
    "keywords": [
      "secant varieties",
      "rational varieties",
      "del pezzo surface",
      "segre-veronese",
      "irreducible projective variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9054C"
    }
  }
}