{
  "id": "0904.0565",
  "version": "v2",
  "published": "2009-04-03T12:43:43.000Z",
  "updated": "2009-07-24T06:52:57.000Z",
  "title": "On spinor varieties and their secants",
  "authors": [
    "Laurent Manivel"
  ],
  "journal": "Symmetry, Integrability and Geometry: Methods and Applications 5 (2009) 078",
  "doi": "10.3842/SIGMA.2009.078",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "We study the secant variety of the spinor variety, focusing on its equations of degree three and four. We show that in type $D_n$, cubic equations exist if and only if $n\\ge 9$. In general the ideal has generators in degrees at least three and four. Finally we observe that the other Freudenthal varieties exhibit strikingly similar behaviors.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-07-24T06:52:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M17",
      "15A66",
      "14L35",
      "14N15"
    ],
    "keywords": [
      "spinor variety",
      "cubic equations",
      "secant variety",
      "strikingly similar behaviors",
      "freudenthal varieties"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "SIGMA",
      "year": 2009,
      "month": "Jul",
      "volume": 5,
      "pages": "078"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009SIGMA...5..078M"
    }
  }
}