{
  "id": "1002.2005",
  "version": "v5",
  "published": "2010-02-10T19:15:51.000Z",
  "updated": "2012-06-01T08:19:38.000Z",
  "title": "Projective Isomonodromy and Galois Groups",
  "authors": [
    "Claude Mitschi",
    "Michael F. Singer"
  ],
  "comment": "Version that will appear in the Proceedings of the American Mathematical Society",
  "categories": [
    "math.CA",
    "math.DS"
  ],
  "abstract": "In this article we introduce the notion of projective isomonodromy, which is a special type of monodromy evolving deformation of linear differential equations, based on the example of the Darboux-Halphen equation. We give an algebraic condition for a paramaterized linear differential equation to be projectively isomonodromic, in terms of the derived group of its parameterized Picard-Vessiot group.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2012-06-01T08:19:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34M56",
      "12H05",
      "34M55"
    ],
    "keywords": [
      "projective isomonodromy",
      "galois groups",
      "paramaterized linear differential equation",
      "monodromy evolving deformation",
      "algebraic condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.2005M"
    }
  }
}