{
  "id": "math/0412117",
  "version": "v1",
  "published": "2004-12-06T15:41:17.000Z",
  "updated": "2004-12-06T15:41:17.000Z",
  "title": "The dimension of the Hilbert scheme of special threefolds",
  "authors": [
    "GianMario Besana",
    "Maria Lucia Fania"
  ],
  "comment": "To appear in Communications in Algebra",
  "categories": [
    "math.AG"
  ],
  "abstract": "The Hilbert scheme of projective 3-folds of codimension 3 or more that are linear scrolls over the projective plane or over a smooth quadric surface or that are quadric or cubic fibrations over the projective line is studied. All known such threefolds of degree from 7 to 11 are shown to correspond to smooth points of an irreducible component of their Hilbert scheme, whose dimension is computed. A relationship with the locus of good determinantal subschemes is investigated",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-06T15:41:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J30",
      "14M07",
      "14N25",
      "14N30"
    ],
    "keywords": [
      "hilbert scheme",
      "special threefolds",
      "smooth quadric surface",
      "smooth points",
      "cubic fibrations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12117B"
    }
  }
}