{
  "id": "1005.0980",
  "version": "v1",
  "published": "2010-05-06T11:20:00.000Z",
  "updated": "2010-05-06T11:20:00.000Z",
  "title": "Number of singular points of an annulus in $\\mathbb{C}^2$",
  "authors": [
    "Maciej Borodzik",
    "Henryk Zoladek"
  ],
  "comment": "15 pages, to appear in Ann. Inst. Fourier",
  "categories": [
    "math.AG"
  ],
  "abstract": "Using Bogomolov-Miyaoka-Yau inequality and a Milnor number bound we prove that any algebraic annulus $\\mathbb{C}^*$ in $\\mathbb{C}^2$ with no self-intersections can have at most three cuspidal singularities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-06T11:20:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H50",
      "14R10",
      "14B05"
    ],
    "keywords": [
      "singular points",
      "milnor number bound",
      "bogomolov-miyaoka-yau inequality",
      "algebraic annulus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.0980B"
    }
  }
}