{
  "id": "1302.1138",
  "version": "v2",
  "published": "2013-02-05T18:03:33.000Z",
  "updated": "2013-02-11T13:05:15.000Z",
  "title": "Lipschitz geometry of complex curves",
  "authors": [
    "Walter D. Neumann",
    "Anne Pichon"
  ],
  "comment": "Added acknowledgements, a reference and extra details in proof of 5.1",
  "categories": [
    "math.AG"
  ],
  "abstract": "We describe the Lipschitz geometry of complex curves. For the most part this is well known material, but we give a stronger version even of known results. In particular, we give a quick proof, without any analytic restrictions, that the outer Lipschitz geometry of a germ of a complex plane curve determines and is determined by its embedded topology. This was first proved by Pham and Teissier, but in an analytic category.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-11T13:05:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05",
      "32S25",
      "32S05",
      "57M99"
    ],
    "keywords": [
      "complex curves",
      "complex plane curve determines",
      "outer lipschitz geometry",
      "quick proof",
      "analytic restrictions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.1138N"
    }
  }
}