{
  "id": "2103.11980",
  "version": "v1",
  "published": "2021-03-22T16:25:32.000Z",
  "updated": "2021-03-22T16:25:32.000Z",
  "title": "The Augmented Base Locus in Mixed Characteristic",
  "authors": [
    "Liam Stigant"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $L$ be a nef and big line bundle on a scheme $X$. It is well known that if $X$ is a projective over a field then the augmented base locus and the exceptional base locus agree. This result is extended to projective schemes over arbitrary excellent Noetherian bases. In particular the result holds in mixed characteristic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-22T16:25:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14A15",
      "14E99"
    ],
    "keywords": [
      "augmented base locus",
      "mixed characteristic",
      "arbitrary excellent noetherian bases",
      "exceptional base locus agree",
      "big line bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}