{
  "id": "1712.00911",
  "version": "v1",
  "published": "2017-12-04T05:27:00.000Z",
  "updated": "2017-12-04T05:27:00.000Z",
  "title": "Nash blow-ups of jet schemes",
  "authors": [
    "Tommaso de Fernex",
    "Roi Docampo"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Given an arbitrary projective birational morphism of varieties, we provide a natural and explicit way of constructing relative compactifications of the maps induced on the main components of the jet schemes. In the case the morphism is the Nash blow-up of a variety, such relative compactifications are shown to be given by the Nash blow-ups of the main components of the jet schemes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-04T05:27:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E18",
      "14E04",
      "14B05"
    ],
    "keywords": [
      "jet schemes",
      "nash blow-up",
      "main components",
      "arbitrary projective birational morphism",
      "explicit way"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}