{
  "id": "math/0606780",
  "version": "v3",
  "published": "2006-06-30T05:25:15.000Z",
  "updated": "2007-01-18T00:16:09.000Z",
  "title": "Traverso's isogeny conjecture for p-divisible groups",
  "authors": [
    "Marc-Hubert Nicole",
    "Adrian Vasiu"
  ],
  "comment": "8 pages, laTex; to appear in Rend. Sem. Mat. Univ. Padova",
  "journal": "Rend. Semin. Mat. Univ. Padova 118 (2007), 73--83",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "Let $k$ be an algebraically closed field of characteristic $p>0$. Let $c,d\\in\\dbN$. Let $b_{c,d}\\ge 1$ be the smallest integer such that for any two $p$-divisible groups $H$ and $H^\\prime$ over $k$ of codimension $c$ and dimension $d$ the following assertion holds: If $H[p^{b_{c,d}}]$ and $H^\\prime[p^{b_{c,d}}]$ are isomorphic, then $H$ and $H^\\prime$ are isogenous. We show that $b_{c,d}=\\lceil{cd\\over {c+d}}\\rceil$. This proves Traverso's isogeny conjecture for $p$-divisible groups over $k$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-01-18T00:16:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G10",
      "11G18",
      "14F30",
      "14G35",
      "14L05"
    ],
    "keywords": [
      "traversos isogeny conjecture",
      "p-divisible groups",
      "smallest integer",
      "assertion holds",
      "characteristic"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6780N"
    }
  }
}