{
  "id": "1612.01077",
  "version": "v1",
  "published": "2016-12-04T06:39:33.000Z",
  "updated": "2016-12-04T06:39:33.000Z",
  "title": "Cyclic coverings of the projective line by Mumford curves in positive characteristic",
  "authors": [
    "Ryota Mikami"
  ],
  "comment": "16 pages, 2 figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study the rigid analytic geometry of cyclic coverings of the projective line. We determine the defining equation of a cyclic covering of degree $p$ of the projective line by a Mumford curve over a complete discrete valuation field of positive characteristic $p$. Previously, Bradley studied that of any degree over a non-archimedean local field of characteristic zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-04T06:39:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "projective line",
      "mumford curve",
      "cyclic covering",
      "positive characteristic",
      "complete discrete valuation field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}