{
  "id": "0707.1668",
  "version": "v3",
  "published": "2007-07-11T17:21:37.000Z",
  "updated": "2016-09-08T07:36:54.000Z",
  "title": "Good Reductions of Shimura Varieties of Hodge Type in Arbitrary Unramified Mixed Characteristic, Part I",
  "authors": [
    "Adrian Vasiu"
  ],
  "comment": "56 pages. Up-dated version based on connection made with local models and parahoric subgroups",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove the existence of good smooth integral models of Shimura varieties of Hodge type in arbitrary unramified mixed characteristic $(0,p)$. As a first application we solve a conjecture of Langlands for Shimura varieties of Hodge type. As a second application we prove the existence in arbitrary unramified mixed characteristic $(0,p)$ of integral canonical models of projective Shimura varieties of Hodge type; this forms progress towards the proof of conjectures of Milne and Reimann. Though the second application was known before in some cases, its proof is new and more of a principle.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-07-24T17:04:17.000Z",
      "comment": "53 pages. Up-dated version based on up-dated references",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2016-09-08T07:36:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G10",
      "11G18",
      "14F30",
      "14G35",
      "14G40",
      "14K10",
      "14J10"
    ],
    "keywords": [
      "arbitrary unramified mixed characteristic",
      "hodge type",
      "shimura varieties",
      "reductions",
      "second application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 56,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.1668V"
    }
  }
}