{
  "id": "math/0405427",
  "version": "v2",
  "published": "2004-05-22T10:11:44.000Z",
  "updated": "2004-07-01T09:20:08.000Z",
  "title": "The Euler characteristic of local systems on the moduli of genus 3 hyperelliptic curves",
  "authors": [
    "Gilberto Bini",
    "Gerard van der Geer"
  ],
  "comment": "12 pages, Latex; Table 5 corrected",
  "categories": [
    "math.AG"
  ],
  "abstract": "For a partition $lambda=\\{lambda_1 \\geq \\lambda_2 \\geq \\lambda_3 \\}$ of non-negative integers, we calculate the Euler characteristic of the local system $V_{\\lambda}$ on the moduli space of genus 3 hyperelliptic curves using a suitable stratification. For some $\\lambda$ of low degree, we make a guess for the motivic Euler characteristic of $V_{\\lambda}$ using counting of curves over finite fields.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-07-01T09:20:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J15"
    ],
    "keywords": [
      "hyperelliptic curves",
      "local system",
      "motivic euler characteristic",
      "finite fields",
      "moduli space"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5427B"
    }
  }
}