{
  "id": "0811.2916",
  "version": "v2",
  "published": "2008-11-18T15:02:25.000Z",
  "updated": "2009-01-07T00:58:33.000Z",
  "title": "Classification of Fuchsian systems and their connection problem",
  "authors": [
    "Toshio Oshima"
  ],
  "comment": "23pages, added appendix and examples",
  "categories": [
    "math.CA"
  ],
  "abstract": "We review the Deligne-Simpson problem, a combinatorial structure of middle convolutions and their relation to a Kac-Moody root system discoverd by Crawley-Boevey. We show with examples that middle convolutions transform the Fuchsian systems with a fixed number of accessory parameters into fundamental systems whose spectral type is in a finite set and we give an explicit connection formula for solutions of Fuchsian differential equations without moduli.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-01-07T00:58:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34M35"
    ],
    "keywords": [
      "fuchsian systems",
      "connection problem",
      "classification",
      "kac-moody root system discoverd",
      "fuchsian differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.2916O"
    }
  }
}