{
  "id": "0912.4291",
  "version": "v4",
  "published": "2009-12-21T23:20:00.000Z",
  "updated": "2013-04-06T17:00:12.000Z",
  "title": "Algebraic Surfaces in Positive Characteristic",
  "authors": [
    "Christian Liedtke"
  ],
  "comment": "66 pages, expanded lecture notes - final version",
  "categories": [
    "math.AG"
  ],
  "abstract": "These notes are an introduction to and an overview of the theory of algebraic surfaces over algebraically closed fields of positive characteristic. After some background in characteristic-p-geometry, we sketch the Kodaira-Enriques classification. Next, we turn to more special characteristic-p topics, and end by lifting results and applications to characteristic zero. We assume that the reader has a background in complex geometry and has seen the Kodaira-Enriques classification of complex surfaces before.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-04-06T17:00:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J10",
      "14G17"
    ],
    "keywords": [
      "algebraic surfaces",
      "positive characteristic",
      "kodaira-enriques classification",
      "special characteristic-p topics",
      "characteristic zero"
    ],
    "tags": [
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 66,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.4291L"
    }
  }
}