{
  "id": "1204.6478",
  "version": "v2",
  "published": "2012-04-29T13:58:34.000Z",
  "updated": "2012-08-27T09:04:31.000Z",
  "title": "Elliptic Fibrations on Supersingular K3 Surface with Artin Invariant 1 in characteristic 3",
  "authors": [
    "Tathagata Sengupta"
  ],
  "comment": "38 pages, 3 figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "We describe all the elliptic models with section on the Shioda supersingular K3 surface X of Artin invariant 1 over an algebraically closed field of characteristic 3. In particular, we compute elliptic parameters and Weierstrass equations for the fifty two different fibrations, and analyze the reducible fibers and Mordell-Weil lattices.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-08-27T09:04:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "artin invariant",
      "elliptic fibrations",
      "characteristic",
      "shioda supersingular k3 surface",
      "weierstrass equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.6478S"
    }
  }
}