{
  "id": "1106.2664",
  "version": "v2",
  "published": "2011-06-14T10:16:22.000Z",
  "updated": "2012-06-01T08:36:59.000Z",
  "title": "Monodromy groups of parameterized linear differential equations with regular singularities",
  "authors": [
    "Claude Mitschi",
    "Michael F. Singer"
  ],
  "comment": "Version to appear in the Bulletin of the London Mathematical Society",
  "doi": "10.1112/blms/bds021",
  "categories": [
    "math.CA"
  ],
  "abstract": "We study the notion of regular singularities for parameterized complex ordinary linear differential systems, prove an analogue of the Schlesinger theorem for systems with regular singularities and solve both a parameterized version of the weak Riemann-Hilbert Problem and a special case of the inverse problem in parameterized Picard-Vessiot theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-06-01T08:36:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34M03",
      "12H05",
      "34M15",
      "34M35",
      "34M50"
    ],
    "keywords": [
      "parameterized linear differential equations",
      "regular singularities",
      "monodromy groups",
      "complex ordinary linear differential systems",
      "parameterized complex ordinary linear differential"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.2664M"
    }
  }
}