{
  "id": "1009.1975",
  "version": "v2",
  "published": "2010-09-10T10:17:05.000Z",
  "updated": "2011-01-15T09:51:44.000Z",
  "title": "Automorphisms of moduli spaces of symplectic bundle",
  "authors": [
    "Indranil Biswas",
    "Tomas L. Gomez",
    "Vicente Muñoz"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let X be an irreducible smooth complex projective curve of genus at least 3. Fix a line bundle L on X. Let M_{Sp}(L) be the moduli space of symplectic bundles (E, ExE ---> L) on X, with the symplectic form taking values in L. We show that the automorphism group of M_{Sp}(L) is generated by automorphisms sending E to ExM, where M is a 2-torsion line bundle, and automorphisms induced by automorphisms of X.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-01-15T09:51:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H60"
    ],
    "keywords": [
      "moduli space",
      "symplectic bundle",
      "line bundle",
      "irreducible smooth complex projective curve",
      "automorphism group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.1975B"
    }
  }
}