{
  "id": "1207.0569",
  "version": "v3",
  "published": "2012-07-03T04:11:41.000Z",
  "updated": "2013-07-02T07:59:42.000Z",
  "title": "Congruences of models of elliptic curves",
  "authors": [
    "Qing Liu",
    "Huajun Lu"
  ],
  "comment": "Minor changes.To appear in J. London Math. Soc",
  "journal": "J. London Math. Soc, 88 (2013), 899-924",
  "doi": "10.1112/jlms/jdt049",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "Let O_K be a discrete valuation ring with field of fractions K and perfect residue field. Let E be an elliptic curve over K, let L/K be a finite Galois extension and let O_L be the integral closure of O_K in L. Denote by X' the minimal regular model of E_L over O_L. We show that the special fibers of the minimal Weierstrass model and the minimal regular model of E over O_K are determined by the infinitesimal fiber X'_m together with the action of Gal(L/K), when m is big enough (depending on the minimal discriminant of E and the different of L/K).",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-07-02T07:59:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G07",
      "14G20",
      "14G40",
      "11G20"
    ],
    "keywords": [
      "elliptic curve",
      "minimal regular model",
      "congruences",
      "minimal weierstrass model",
      "perfect residue field"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.0569L"
    }
  }
}