{
  "id": "math/0701060",
  "version": "v1",
  "published": "2007-01-02T13:53:05.000Z",
  "updated": "2007-01-02T13:53:05.000Z",
  "title": "On Iwasawa Theory over Function Fields",
  "authors": [
    "Ka-Lam Kueh",
    "King Fai Lai",
    "Ki-Seng Tan"
  ],
  "comment": "26 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $k_{\\infty}$ be a $\\Z_p^d$-extension of a global function field $k$ of characteristic $p$. Let $\\Cl_{k_{\\infty},p}$ be the $p$ completion of the class group of $k_{\\infty}$. We prove that the characteristic ideal of the Galois module $\\Cl_{k_{\\infty},p}$ is generated by the Stickelberger element of Gross which calculates the special values of $L$ functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-02T13:53:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S40",
      "11R42",
      "11R58"
    ],
    "keywords": [
      "iwasawa theory",
      "global function field",
      "class group",
      "special values",
      "characteristic ideal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1060K"
    }
  }
}