{
  "id": "1903.08730",
  "version": "v1",
  "published": "2019-03-20T20:39:46.000Z",
  "updated": "2019-03-20T20:39:46.000Z",
  "title": "A characterization of the U(Omega,m) sets of a hyperelliptic curve as Omega and m vary",
  "authors": [
    "Christelle Vincent"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "In this article we consider a certain distinguished set $U(\\Omega,m) \\subseteq \\{1,2,\\ldots,2g+1,\\infty\\}$ that can be attached to a marked hyperelliptic curve of genus $g$ equipped with a small period matrix $\\Omega$ for its polarized Jacobian. We show that as $\\Omega$ and the marking $m$ vary, this set ranges over all possibilities prescribed by an argument of Poor.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-20T20:39:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14K25"
    ],
    "keywords": [
      "characterization",
      "small period matrix",
      "set ranges",
      "marked hyperelliptic curve",
      "distinguished set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}