{
  "id": "1009.4017",
  "version": "v1",
  "published": "2010-09-21T08:19:47.000Z",
  "updated": "2010-09-21T08:19:47.000Z",
  "title": "Laudal's Lemma in positive characteristic",
  "authors": [
    "Paola Bonacini"
  ],
  "journal": "Journal of Algebraic Geometry, 18 (2009), 459--475",
  "categories": [
    "math.AG"
  ],
  "abstract": "Laudal's Lemma states that if $C$ is a curve of degree $d > s^2 + 1$ in $\\mathbb P^3$ over an algebraically closed field of characteristic 0 such that its plane section is contained in an irreducible curve of degree s, then $C$ lies on a surface of degree $s$. We show that the same result does not hold in positive characteristic and we find different bounds $d > f(s)$ which ensure that $C$ is contained in a surface of degree $s$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-21T08:19:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H50"
    ],
    "keywords": [
      "positive characteristic",
      "laudals lemma states",
      "plane section",
      "irreducible curve",
      "algebraically closed field"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.4017B"
    }
  }
}