{
  "id": "math/0304128",
  "version": "v3",
  "published": "2003-04-09T16:40:11.000Z",
  "updated": "2012-10-24T18:49:44.000Z",
  "title": "CM-lifts for Isogeny Classes of Shimura F-crystals over Finite Fields",
  "authors": [
    "Adrian Vasiu"
  ],
  "comment": "Shorter version 62 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We extend to large contexts pertaining to Shimura varieties of Hodge type a result of Zink on the existence of lifts to characteristic 0 of suitable representatives of certain isogeny classes of abelian varieties endowed with Frobenius and other endomorphisms over $\\dbF_{p^q}$, whose $p$-divisible groups in mixed characteristic $(0,p)$ are with complex multiplication.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-10-24T18:49:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G10",
      "14G15",
      "11G18",
      "11G35",
      "14F30",
      "14F55",
      "14K22",
      "14L05",
      "14L15"
    ],
    "keywords": [
      "isogeny classes",
      "shimura f-crystals",
      "finite fields",
      "shimura varieties",
      "hodge type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 62,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......4128V"
    }
  }
}