{
  "id": "0810.2842",
  "version": "v1",
  "published": "2008-10-16T02:49:33.000Z",
  "updated": "2008-10-16T02:49:33.000Z",
  "title": "Everywhere ramified towers of global function fields",
  "authors": [
    "Iwan Duursma",
    "Bjorn Poonen",
    "Michael Zieve"
  ],
  "comment": "5 pages. This paper was published in 2004. I post it now for greater accessibility",
  "journal": "Finite Fields and Applications, Springer Lecture Notes in Computer Science 2948 (2004), 148--153",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We consider a tower of function fields F_0 < F_1 < ... over a finite field such that every place of every F_i ramified in the tower and the sequence genus(F_i)/[F_i:F_0] has a finite limit. We also construct a tower in which every place ramifies and the sequence N_i/[F_i:F_0] has a positive limit, where N_i is the number of degree-one places of F_i. These towers answer questions posed by Stichtenoth.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-16T02:49:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G20",
      "14G05",
      "14G15"
    ],
    "keywords": [
      "global function fields",
      "ramified towers",
      "finite limit",
      "finite field",
      "place ramifies"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.2842D"
    }
  }
}