{
  "id": "1005.5120",
  "version": "v2",
  "published": "2010-05-27T16:56:11.000Z",
  "updated": "2011-06-28T14:30:50.000Z",
  "title": "Algebraic independence of periods and logarithms of Drinfeld modules (with an appendix by Brian Conrad)",
  "authors": [
    "Chieh-Yu Chang",
    "Matthew A. Papanikolas"
  ],
  "comment": "26 pages, final version, added appendix by Brian Conrad",
  "journal": "J. Amer. Math. Soc. 25 (2012), 123-150",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let rho be a Drinfeld A-module with generic characteristic defined over an algebraic function field. We prove that all of the algebraic relations among periods, quasi-periods, and logarithms of algebraic points on rho are those coming from linear relations induced by endomorphisms of rho.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-06-28T14:30:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J93",
      "11G09",
      "11J89"
    ],
    "keywords": [
      "drinfeld modules",
      "brian conrad",
      "algebraic independence",
      "logarithms",
      "algebraic function field"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "J. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.5120C"
    }
  }
}