{
  "id": "math/0501541",
  "version": "v3",
  "published": "2005-01-30T18:04:44.000Z",
  "updated": "2006-01-16T20:19:52.000Z",
  "title": "On the geometry of p-typical covers in characteristic p",
  "authors": [
    "Kiran S. Kedlaya"
  ],
  "comment": "25 pages; v3: refereed version",
  "categories": [
    "math.AG"
  ],
  "abstract": "A p-typical cover of a connected scheme on which p=0 is a finite etale cover whose monodromy group (i.e., the Galois group of its normal closure) is a p-group. The geometry of such covers exhibits some unexpectedly pleasant behaviors; building on work of Katz, we demonstrate some of these. These include a criterion for when a morphism induces an isomorphism of the p-typical quotients of the etale fundamental groups, and a decomposition theorem for p-typical covers of polynomial rings over an algebraically closed field.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-01-16T20:19:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F35"
    ],
    "keywords": [
      "p-typical cover",
      "characteristic",
      "finite etale cover",
      "etale fundamental groups",
      "polynomial rings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1541K"
    }
  }
}