{
  "id": "1007.1695",
  "version": "v1",
  "published": "2010-07-10T04:05:47.000Z",
  "updated": "2010-07-10T04:05:47.000Z",
  "title": "Geometry of orbits of permanents and determinants",
  "authors": [
    "Shrawan Kumar"
  ],
  "comment": "28 pages",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "We prove that the orbit closure of the determinant is not normal. A similar result is obtained for the orbit closure of the permanent multiplied by a power of a linear form.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-10T04:05:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L30",
      "14L24",
      "14R20",
      "20G05"
    ],
    "keywords": [
      "determinant",
      "orbit closure",
      "linear form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.1695K"
    }
  }
}