{
  "id": "math/9911070",
  "version": "v1",
  "published": "1999-11-10T22:49:00.000Z",
  "updated": "1999-11-10T22:49:00.000Z",
  "title": "Smoothings of cyclic quotient singularities from a topological point of view",
  "authors": [
    "Ludwig Balke"
  ],
  "comment": "11 pages, 13 figures",
  "categories": [
    "math.AG",
    "math.GT"
  ],
  "abstract": "For a smoothing Y of a 2-dimensional cyclic quotient singularity X, we construct a simple handle decomposition of Y by using a particular birational map from Y to the projective plane. The manifold Y is built up from the product of an annulus with a disk by attaching 2-handles in a manner which can be described by means of a plumbing graph. In particular, Y is homotopy equivalent to a 2-dimensional CW-complex with 1-skeleton a single circle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-11-10T22:49:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S30",
      "32S55",
      "57M50"
    ],
    "keywords": [
      "cyclic quotient singularity",
      "topological point",
      "simple handle decomposition",
      "single circle",
      "homotopy equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.....11070B"
    }
  }
}