{
  "id": "math/0405529",
  "version": "v1",
  "published": "2004-05-27T15:36:24.000Z",
  "updated": "2004-05-27T15:36:24.000Z",
  "title": "Cyclic p-groups and semi-stable reduction of curves in equal characteristic p>0",
  "authors": [
    "Mohamed Saidi"
  ],
  "comment": "54 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "In this paper we study the semi-stable reduction of $p$ and $p^2$-cyclic covers of curves in equal characteristic $p>0$. The main tool we use is the classical Artin-Schreier-Witt theory for $p^n$-cyclic covers in characteristic $p$. Although the results of this paper concern only the cases of degree $p$ and $p^2$-cyclic cover we develop the techniques and the framework in which the general cyclic case can be studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-05-27T15:36:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "equal characteristic",
      "semi-stable reduction",
      "cyclic p-groups",
      "cyclic cover",
      "general cyclic case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 54,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5529S"
    }
  }
}