{
  "id": "0808.0343",
  "version": "v2",
  "published": "2008-08-03T19:32:26.000Z",
  "updated": "2008-08-12T23:23:04.000Z",
  "title": "Threefolds of order one in the six-quadric",
  "authors": [
    "Lev Borisov",
    "Jeff Viaclovsky"
  ],
  "comment": "14 pages; added Propositions 3.6 and 4.4 in version 2",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "Consider the smooth quadric Q_6 in P^7. The middle homology group H_6(Q_6,Z) is two-dimensional with a basis given by two classes of linear subspaces. We classify all threefolds of bidegree (1,p) inside Q_6.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-08-12T23:23:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "threefolds",
      "six-quadric",
      "middle homology group",
      "smooth quadric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.0343B"
    }
  }
}