{
  "id": "math/9809106",
  "version": "v1",
  "published": "1998-09-18T22:52:45.000Z",
  "updated": "1998-09-18T22:52:45.000Z",
  "title": "Moduli of vector bundles on curves in positive characteristic",
  "authors": [
    "Kirti Joshi",
    "Eugene Z. Xia"
  ],
  "comment": "AmsLaTeX file (10 printed pages)",
  "journal": "Compositio Mathematica Volume 122 Issue 03 (2000) Pages 315-321",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $X$ be a projective curve of genus 2 over an algebraically closed field of characteristic 2. The Frobenius map on X induces a rational map on the moduli space of rank-2 bundles. We show that up to isomorphism, there is only one (up to tensoring by an order two line bundle) semi-stable vector bundle of rank 2 with determinant equal to a theta characteristic whose Frobenius pull-back is not stable. The indeterminacy of the Frobenius map at this point can be resolved by introducing Higgs bundles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-09-18T22:52:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D20"
    ],
    "keywords": [
      "positive characteristic",
      "frobenius map",
      "introducing higgs bundles",
      "frobenius pull-back",
      "semi-stable vector bundle"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......9106J"
    }
  }
}