{
  "id": "1104.2981",
  "version": "v1",
  "published": "2011-04-15T08:28:30.000Z",
  "updated": "2011-04-15T08:28:30.000Z",
  "title": "Böttcher coordinates",
  "authors": [
    "Xavier Buff",
    "Adam Epstein",
    "Sarah Koch"
  ],
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "A well-known theorem of B\\\"ottcher asserts that an analytic germ f:(C,0)->(C,0) which has a superattracting fixed point at 0, more precisely of the form f(z) = az^k + o(z^k) for some a in C^*, is analytically conjugate to z->az^k by an analytic germ phi:(C,0)->(C,0) which is tangent to the identity at 0. In this article, we generalize this result to analytic maps of several complex variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-15T08:28:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "böttcher coordinates",
      "analytic germ",
      "well-known theorem",
      "analytic maps",
      "complex variables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.2981B"
    }
  }
}