{
  "id": "math/0005044",
  "version": "v1",
  "published": "2000-05-04T18:14:24.000Z",
  "updated": "2000-05-04T18:14:24.000Z",
  "title": "The action of the Frobenius map on rank 2 vector bundles in characteristic 2",
  "authors": [
    "Yves Laszlo",
    "Christian Pauly"
  ],
  "comment": "19 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $X$ be an ordinary smooth curve defined over an algebraically closed field of characteristic 2. The absolute Frobenius induces a rational map $F$ on the moduli space $M_X$ of rank 2 vector bundles with fixed trivial determinant. If the genus of $X$ is 2, the moduli space $M_X$ is isomorphic to projective space of dimension 3 (as over the complex numbers). In this case we explicitly give the equations of $F$, which enables us to determine, for example, its base locus (one point) and its image (different from $M_X$).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-05-04T18:14:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vector bundles",
      "frobenius map",
      "characteristic",
      "moduli space",
      "absolute frobenius induces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......5044L"
    }
  }
}