{
  "id": "0904.3430",
  "version": "v1",
  "published": "2009-04-22T10:42:11.000Z",
  "updated": "2009-04-22T10:42:11.000Z",
  "title": "Connections for weighted projective lines",
  "authors": [
    "William Crawley-Boevey"
  ],
  "comment": "12 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We introduce a notion of a connection on a coherent sheaf on a weighted projective line (in the sense of Geigle and Lenzing). Using a theorem of Huebner and Lenzing we show, under a mild hypothesis, that if one considers coherent sheaves equipped with such a connection, and one passes to the perpendicular category to a nonzero vector bundle without self-extensions, then the resulting category is equivalent to the category of representations of a deformed preprojective algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-22T10:42:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H45",
      "16G20"
    ],
    "keywords": [
      "weighted projective line",
      "connection",
      "nonzero vector bundle",
      "coherent sheaves",
      "perpendicular category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.3430C"
    }
  }
}