{
  "id": "1910.04145",
  "version": "v1",
  "published": "2019-10-09T17:43:26.000Z",
  "updated": "2019-10-09T17:43:26.000Z",
  "title": "Topology of smoothings of non-isolated singularities of complex surfaces",
  "authors": [
    "Octave Curmi"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that the boundaries of the Milnor fibers of smoothings of non-isolated reduced complex surface singularities are graph manifolds. Moreover, we give a method, inspired by previous work of N\\'emethi and Szilard, to compute associated plumbing graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-09T17:43:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-isolated singularities",
      "smoothings",
      "non-isolated reduced complex surface singularities",
      "graph manifolds",
      "milnor fibers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}