{
  "id": "1903.03661",
  "version": "v1",
  "published": "2019-03-08T20:32:05.000Z",
  "updated": "2019-03-08T20:32:05.000Z",
  "title": "Deformation and Smoothing of Singularities",
  "authors": [
    "Gert-Martin Greuel"
  ],
  "comment": "This is intended as a chapter of the forthcoming \"Handbook on the Geometry and Topology of Singularites\"",
  "categories": [
    "math.AG"
  ],
  "abstract": "We give a survey on some aspects of deformations of isolated singularities. In addition to the presentation of the general theory, we report on the question of the smoothability of a singularity and on relations between different invariants, such as the Milnor number, the Tjurina number, and the dimension of a smoothing component.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-08T20:32:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singularity",
      "deformation",
      "general theory",
      "milnor number",
      "tjurina number"
    ],
    "tags": [
      "book chapter"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}