{
  "id": "0808.0436",
  "version": "v2",
  "published": "2008-08-04T12:49:22.000Z",
  "updated": "2009-08-24T09:42:33.000Z",
  "title": "Smoothings of schemes with non-isolated singularities",
  "authors": [
    "Nikolaos Tziolas"
  ],
  "comment": "Final version, accepted for publication in the Michigan Mathematical Journal. 53 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we study the deformation and Q-Gorenstein deformation theory of schemes with non-isolated singularities. We obtain obstruction spaces for the existence of deformations and also for local deformations to exist globally. Finally we obtain explicit criteria in order for a pure and reduced scheme of finite type over a field $k$ to have smoothings and Q-Gorenstein smoothings.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-08-24T09:42:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D15"
    ],
    "keywords": [
      "non-isolated singularities",
      "q-gorenstein deformation theory",
      "q-gorenstein smoothings",
      "explicit criteria",
      "local deformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 53,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.0436T"
    }
  }
}