{
  "id": "1304.6851",
  "version": "v2",
  "published": "2013-04-25T09:49:33.000Z",
  "updated": "2016-03-10T14:26:40.000Z",
  "title": "A criterion for good reduction of Drinfeld modules and Anderson motives in terms of local shtukas",
  "authors": [
    "Urs Hartl",
    "Simon Hüsken"
  ],
  "comment": "15 pages",
  "journal": "Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Vol. XV (2016), 25-43",
  "doi": "10.2422/2036-2145.201304_007",
  "categories": [
    "math.NT"
  ],
  "abstract": "For an Anderson A-motive over a discretely valued field whose residue field has A-characteristic \\epsilon, we prove a criterion for good reduction in terms of its associated local shtuka at \\epsilon. This yields a criterion for good reduction of Drinfeld modules. Our criterion is the function-field analog of Grothendieck's and de Jong's criterion for good reduction of an abelian variety over a discretely valued field with residue characteristic p in terms of its associated p-divisible group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-25T09:49:33.000Z",
      "comment": "14 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-03-10T14:26:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G09",
      "14L05"
    ],
    "keywords": [
      "drinfeld modules",
      "anderson motives",
      "discretely valued field",
      "residue field",
      "abelian variety"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.6851H"
    }
  }
}