{
  "id": "math/0210196",
  "version": "v3",
  "published": "2002-10-14T09:00:17.000Z",
  "updated": "2003-04-02T09:22:26.000Z",
  "title": "Vanishing thetanulls and hyperelliptic curves",
  "authors": [
    "Olivier Schneider"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $\\mathcal{M}_{g,2}$ be the moduli space of curves of genus $g$ with a level-2 structure. We prove here that there is always a non hyperelliptic element in the intersection of four thetanull divisors in $\\mathcal{M}_{6,2}$. We prove also that for all $g\\geqslant3$, each component of the hyperelliptic locus in $\\mathcal{M}_{g,2}$ is a connected component of the intersection of $g-2$ thetanull divisors.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-04-02T09:22:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperelliptic curves",
      "vanishing thetanulls",
      "thetanull divisors",
      "non hyperelliptic element",
      "hyperelliptic locus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....10196S"
    }
  }
}