{
  "id": "1412.2202",
  "version": "v1",
  "published": "2014-12-06T07:05:36.000Z",
  "updated": "2014-12-06T07:05:36.000Z",
  "title": "Böttcher coordinates at superattracting fixed points of holomorphic skew products",
  "authors": [
    "Kohei Ueno"
  ],
  "comment": "13 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $f : (\\mathbf{C}^2, 0) \\to (\\mathbf{C}^2, 0)$ be a germ of holomorphic skew product with a superattracting fixed point at the origin. If it has a suitable weight, then we can construct a B\\\"ottcher coordinate which conjugates $f$ to the associated monomial map. This B\\\"ottcher coordinate is defined on an open set whose interior or boundary contains the origin.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-06T07:05:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32H50"
    ],
    "keywords": [
      "holomorphic skew product",
      "superattracting fixed point",
      "böttcher coordinates",
      "associated monomial map",
      "open set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.2202U"
    }
  }
}