{
  "id": "2001.10491",
  "version": "v1",
  "published": "2020-01-28T17:49:46.000Z",
  "updated": "2020-01-28T17:49:46.000Z",
  "title": "Nash blowups in prime characteristic",
  "authors": [
    "Luis Núñez-Betancourt",
    "Daniel Duarte"
  ],
  "comment": "10 pages, comments welcome",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "We initiate the study of Nash blowups in prime characteristic. First, we show that a normal variety is non-singular if and only if its Nash blowup is an isomorphism, extending a theorem by A. Nobile. We also study higher Nash blowups, as defined by T. Yasuda. Specifically, we give a characteristic-free proof of a higher version of Nobile's Theorem for quotient varieties and hypersurfaces. We also prove a weaker version for $F$-pure varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-28T17:49:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05",
      "14E15",
      "16S32",
      "13A35",
      "14J70"
    ],
    "keywords": [
      "prime characteristic",
      "study higher nash blowups",
      "pure varieties",
      "normal variety",
      "characteristic-free proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}