{
  "id": "1611.05309",
  "version": "v1",
  "published": "2016-11-16T15:17:52.000Z",
  "updated": "2016-11-16T15:17:52.000Z",
  "title": "A lower bound for the gonality conjecture",
  "authors": [
    "Wouter Castryck"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "For every integer $k \\geq 3$ we construct a $k$-gonal curve $C$ along with a very ample divisor of degree $2g + k - 1$ (where $g$ is the genus of $C$) to which the vanishing statement from the Green-Lazarsfeld gonality conjecture does not apply.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-16T15:17:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower bound",
      "green-lazarsfeld gonality conjecture",
      "gonal curve",
      "ample divisor",
      "vanishing statement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}