{
  "id": "2002.12288",
  "version": "v1",
  "published": "2020-02-27T17:58:23.000Z",
  "updated": "2020-02-27T17:58:23.000Z",
  "title": "The Hitchin connection in arbitrary characteristic",
  "authors": [
    "Thomas Baier",
    "Michele Bolognesi",
    "Johan Martens",
    "Christian Pauly"
  ],
  "comment": "48 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We give an algebro-geometric construction of the Hitchin connection, valid also in positive characteristic (with a few exceptions). A key ingredient is a substitute for the Narasimhan-Atiyah-Bott K\\\"ahler form that realizes the Chern class of the determinant-of-cohomology line bundle on the moduli space of bundles on a curve. As replacement we use an explicit realisation of the Atiyah class of this line bundle, based on the theory of the trace complex due to Beilinson-Schechtman and Bloch-Esnault.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-27T17:58:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D20",
      "14H60",
      "14F05",
      "58J52"
    ],
    "keywords": [
      "hitchin connection",
      "arbitrary characteristic",
      "determinant-of-cohomology line bundle",
      "explicit realisation",
      "moduli space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}