{
  "id": "1102.4314",
  "version": "v1",
  "published": "2011-02-21T19:43:01.000Z",
  "updated": "2011-02-21T19:43:01.000Z",
  "title": "On the genus of curves in a Jacobian variety",
  "authors": [
    "Valeria Ornella Marcucci"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that the geometric genus p of a curve in a very generic Jacobian of dimension g>3 satisfies either p=g or p>2g-3. This gives a positive answer to a conjecture of Naranjo and Pirola. For low values of g the second inequality can be further improved to p>2g-2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-21T19:43:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H40"
    ],
    "keywords": [
      "jacobian variety",
      "geometric genus",
      "generic jacobian",
      "low values",
      "second inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.4314O"
    }
  }
}