{
  "id": "math/0701130",
  "version": "v1",
  "published": "2007-01-04T09:19:33.000Z",
  "updated": "2007-01-04T09:19:33.000Z",
  "title": "Rigidity for dicritical germ of foliation in the complex plane",
  "authors": [
    "Y. Genzmer"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We study some kind of rigidity property for dicritical foliation in the complex plane. In fact, we prove that for a generic dicritical foliation, there exists deformations of the resolution space which cannot carry any deformation of the foliation with constant holonomy pseudo-group. This situation never occurs in the non-dicritical case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-04T09:19:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex plane",
      "dicritical germ",
      "constant holonomy pseudo-group",
      "rigidity property",
      "deformation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1130G"
    }
  }
}