{
  "id": "0907.2784",
  "version": "v1",
  "published": "2009-07-16T08:50:04.000Z",
  "updated": "2009-07-16T08:50:04.000Z",
  "title": "On the derived category of the Cayley plane",
  "authors": [
    "Laurent Manivel"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We describe a maximal exceptional collection on the Cayley plane, the minimal homogeneous projective variety of $E_6$. This collection consists in a sequence of 27 irreducible homogeneous bundles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-16T08:50:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "14M17",
      "18E30"
    ],
    "keywords": [
      "cayley plane",
      "derived category",
      "maximal exceptional collection",
      "minimal homogeneous projective variety",
      "collection consists"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.2784M"
    }
  }
}