{
  "id": "math/0005173",
  "version": "v1",
  "published": "2000-05-17T08:35:18.000Z",
  "updated": "2000-05-17T08:35:18.000Z",
  "title": "On the construction of some Buchsbaum varieties and the Hilbert scheme of elliptic scrolls in P^5",
  "authors": [
    "Dolores Bazan",
    "Emilia Mezzetti"
  ],
  "comment": "17 pages, 1 figure, to be published in Geometriae Dedicata",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study the degeneracy loci of general bundle morphisms from the direct sum of m copies of the structural sheaf on $P^n$ to $\\Omega(2)$, also from the point of view of the classical geometrical interpretation of the sections of $\\Omega(2)$ as linear line complexes. We consider in particular the case of $P^5$ with m=2, 3. For n=5 and m=3 we give an explicit description of the Hilbert scheme H of elliptic normal scrolls in $P^5$, by defining a natural rational map from the Grassmannian G(2,14) to H, which results to be dominant with general fibre of degree four.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-05-17T08:35:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "14H52",
      "14J10"
    ],
    "keywords": [
      "hilbert scheme",
      "elliptic scrolls",
      "buchsbaum varieties",
      "construction",
      "general bundle morphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......5173B"
    }
  }
}