{
  "id": "2005.08878",
  "version": "v1",
  "published": "2020-05-18T16:47:29.000Z",
  "updated": "2020-05-18T16:47:29.000Z",
  "title": "Covering gonalities of complete intersections in positive characteristic",
  "authors": [
    "Geoffrey Smith"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We define the covering gonality and separable covering gonality of varieties over arbitrary fields, generalizing the definition given by Bastianelli-de Poi-Ein-Lazarsfeld-Ullery for complex varieties. We show that over an arbitrary field a smooth multidegree $(d_1,\\ldots,d_k)$ complete intersection in $\\mathbb{P}^N$ has separable covering gonality at least $d-N+1$, where $d=d_1+\\cdots+d_k$. We also show that the very general such variety has covering gonality at least $\\frac{d-N+2}{2}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-18T16:47:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E08",
      "14M10",
      "14C15"
    ],
    "keywords": [
      "complete intersection",
      "positive characteristic",
      "arbitrary field",
      "separable covering gonality",
      "bastianelli-de poi-ein-lazarsfeld-ullery"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}