{
  "id": "math/0301031",
  "version": "v1",
  "published": "2003-01-05T14:19:53.000Z",
  "updated": "2003-01-05T14:19:53.000Z",
  "title": "Representability of Aut_F and End_F",
  "authors": [
    "Niko Naumann"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Recently N. Nitsure showed that for a coherent sheaf F on a noetherian scheme the automorphism functor Aut_F is representable if and only if F is locally free. Here we remove the noetherian hypothesis and show that the same result holds for the endomorphism functor End_F even if one asks for representability by an algebraic space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-05T14:19:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14A25"
    ],
    "keywords": [
      "representability",
      "coherent sheaf",
      "noetherian scheme",
      "automorphism functor",
      "noetherian hypothesis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1031N"
    }
  }
}