{
  "id": "2005.09690",
  "version": "v1",
  "published": "2020-05-19T18:16:19.000Z",
  "updated": "2020-05-19T18:16:19.000Z",
  "title": "Invariance of the fundamental group under base change between algebraically closed fields",
  "authors": [
    "Aaron Landesman"
  ],
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We provide an expository proof of the fact that the prime to $p$ \\'etale fundamental group of a connected normal quasi-projective scheme remains invariant upon base change between algebraically closed fields of characteristic $p$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-19T18:16:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraically closed fields",
      "base change",
      "normal quasi-projective scheme remains invariant",
      "invariance",
      "connected normal quasi-projective scheme remains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}