{
  "id": "1102.3156",
  "version": "v1",
  "published": "2011-02-15T19:02:24.000Z",
  "updated": "2011-02-15T19:02:24.000Z",
  "title": "The ideal of curves of genus 2 on rational normal scrolls",
  "authors": [
    "Andrea Hofmann"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Given a smooth curve of genus 2 embedded in P^(d-2) with a complete linear system of degree d>=6, we list all types of rational normal scrolls arising from linear systems g^1_2 and g^1_3 on C. Furthermore, we give a description of the ideal of such a curve of genus 2 embedded in P^(d-2) as a sum of the ideal of the two-dimensional scroll defined by the unique g^1_2 on C and the ideal of a three-dimensional scroll arising from a g^1_3 on C and not containing the scroll defined by the g^1_2 on C.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-15T19:02:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complete linear system",
      "rational normal scrolls arising",
      "two-dimensional scroll",
      "smooth curve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.3156H"
    }
  }
}