{
  "id": "math/0405349",
  "version": "v1",
  "published": "2004-05-18T12:12:54.000Z",
  "updated": "2004-05-18T12:12:54.000Z",
  "title": "The Kodaira dimension of Siegel modular varieties of genus 3 or higher",
  "authors": [
    "Eric Schellhammer"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We consider the moduli space $A_{pol}(n)$ of (non-principally) polarised abelian varieties of genus $g\\geq3$ with coprime polarisation and full level-$n$ structure. Based upon the analysis of the Tits building in math/0405321, we give an explicit lower bound on $n$ that is sufficient for the compactified moduli space to be of general type if one further explicit condition is satisfied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-05-18T12:12:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14K10",
      "11G15"
    ],
    "keywords": [
      "siegel modular varieties",
      "kodaira dimension",
      "explicit lower bound",
      "explicit condition",
      "polarised abelian varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5349S"
    }
  }
}