{
  "id": "math/0410572",
  "version": "v2",
  "published": "2004-10-27T11:37:43.000Z",
  "updated": "2005-06-03T08:00:06.000Z",
  "title": "The trace of an automorphism on H^0(J,O(nΘ))",
  "authors": [
    "Israel Moreno Mejía"
  ],
  "comment": "The paper was withdrawn by the autor due to a copyright transfer agreement. The paper has been published in the Michigan Mathematical Journal",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let X be a smooth complex projective curve with a non trivial group of automorphisms G. Let J denote the Jacobian variety of X. Given h\\in G, our goal is to compute the trace of h on H^0(J,O(n\\Theta)) in order to decompose this space into a sum of the irreducible representations of G.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-06-03T08:00:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L30",
      "14H40",
      "58J20",
      "14H37"
    ],
    "keywords": [
      "automorphism",
      "smooth complex projective curve",
      "non trivial group",
      "jacobian variety",
      "representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}