{
  "id": "math/0006028",
  "version": "v1",
  "published": "2000-06-05T05:12:42.000Z",
  "updated": "2000-06-05T05:12:42.000Z",
  "title": "Classification of Okamoto-Painlevé Pairs",
  "authors": [
    "Masa-Hiko Saito",
    "Taro Takebe"
  ],
  "comment": "24 pages",
  "journal": "Kobe Journal Math., Vol. 19, No.1-2. 2002 21--55",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, we introduce the notion of an Okamoto-Painlev\\'e pair (S, Y) which consists of a compact smooth complex surface S and an effective divisor Y on S satisfying certain conditions. Though spaces of initial values of Painlev\\'e equations introduced by K. Okamoto give examples of Okamoto-Painleve pairs, we find a new example of Okamoto-Painlev\\'e pairs not listed in \\cite{Oka}. We will give the complete classification of Okamoto-Painlev\\'e pairs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-06-05T05:12:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D15",
      "14J26"
    ],
    "keywords": [
      "okamoto-painleve pair",
      "compact smooth complex surface",
      "initial values",
      "complete classification",
      "painleve equations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......6028S"
    }
  }
}