{
  "id": "math/0606777",
  "version": "v2",
  "published": "2006-06-30T04:53:32.000Z",
  "updated": "2007-07-06T14:06:21.000Z",
  "title": "Minimal truncations of supersingular p-divisible groups",
  "authors": [
    "Marc-Hubert Nicole",
    "Adrian Vasiu"
  ],
  "comment": "9 pages, LaTex; to appear in Indiana Univ. Math. J",
  "journal": "Indiana Univ. Math. J. {\\bf 56} (2007), no. 6, pp. 2887-2897",
  "doi": "10.1512/iumj.2007.56.3110",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Let k be an algebraically closed field of characteristic p>0. Let H be a supersingular p-divisible group over k of height 2d. We show that H is uniquely determined up to isomorphism by its truncation of level d (i.e., by H[p^d]). This proves Traverso's truncation conjecture for supersingular p-divisible groups. If H has a principal quasi-polarization \\lambda, we show that (H,\\lambda) is also uniquely determined up to isomorphism by its principally quasi-polarized truncated Barsotti--Tate group of level d (i.e., by (H[p^d],\\lambda[p^d])).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-07-06T14:06:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G10",
      "11G18",
      "14L05"
    ],
    "keywords": [
      "supersingular p-divisible group",
      "minimal truncations",
      "traversos truncation conjecture",
      "height 2d",
      "isomorphism"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6777N"
    }
  }
}