{
  "id": "math/0410520",
  "version": "v1",
  "published": "2004-10-25T08:58:22.000Z",
  "updated": "2004-10-25T08:58:22.000Z",
  "title": "On linear spaces of skew-symmetric matrices of constant rank",
  "authors": [
    "Laurent Manivel",
    "Emilia Mezzetti"
  ],
  "comment": "12 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We describe the space of projective planes of complex skew-symmetric matrices of order six and constant rank four. We prove that it has four connected components, all of dimension 26 and homogeneous under the action of PGL_6.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-25T08:58:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M15",
      "14F05",
      "15A03"
    ],
    "keywords": [
      "constant rank",
      "linear spaces",
      "complex skew-symmetric matrices",
      "connected components"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....10520M"
    }
  }
}