{
  "id": "2203.03842",
  "version": "v1",
  "published": "2022-03-08T04:23:25.000Z",
  "updated": "2022-03-08T04:23:25.000Z",
  "title": "Resolution of Singularities in Arbitrary Characteristic",
  "authors": [
    "Yi Hu"
  ],
  "comment": "159 pages. This paper supersedes arXiv:2109.02968 (new additions are in subsections 10.2 and 10.3)",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "Let $X$ be an integral affine or projective scheme of finite presentation over a perfect field. We prove that $X$ admits a resolution, that is, there exists a smooth scheme $\\widetilde X$ and a projective birational morphism from $\\widetilde X$ onto $X$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-08T04:23:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arbitrary characteristic",
      "resolution",
      "singularities",
      "integral affine",
      "perfect field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 159,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}