{
  "id": "math/0303382",
  "version": "v3",
  "published": "2003-03-31T03:02:18.000Z",
  "updated": "2004-01-27T02:19:39.000Z",
  "title": "More etale covers of affine spaces in positive characteristic",
  "authors": [
    "Kiran S. Kedlaya"
  ],
  "comment": "6 pages, AMSTeX; v3: some errors fixed; to appear in J. Algebraic Geometry",
  "journal": "preprint; published version: J. Alg. Geom. 14 (2005), 187-192.",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that every geometrically reduced projective variety of pure dimension n over a field of positive characteristic admits a morphism to projective n-space, etale away from the hyperplane H at infinity, which maps a chosen divisor into H and some chosen smooth points not on the divisor to points not in H. This improves our earlier result in math.AG/0207150, which was restricted to infinite perfect fields. We also prove a related result that controls the behavior of divisors through the chosen point.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2004-01-27T02:19:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E20",
      "14B25"
    ],
    "keywords": [
      "affine spaces",
      "etale covers",
      "infinite perfect fields",
      "chosen smooth points",
      "pure dimension"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......3382K"
    }
  }
}