{
  "id": "1610.05239",
  "version": "v1",
  "published": "2016-10-17T18:06:17.000Z",
  "updated": "2016-10-17T18:06:17.000Z",
  "title": "On the classification of ALE Kähler manifolds",
  "authors": [
    "Hans-Joachim Hein",
    "Rares Rasdeaconu",
    "Ioana Suvaina"
  ],
  "comment": "15 pages. Comments are welcome!",
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "The underlying complex structure of ALE K\\\"ahler manifolds is exhibited as a resolution of a deformation of an isolated quotient singularity. As a consequence, there exist only finitely many diffeomorphism types of minimal ALE K\\\"ahler surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-17T18:06:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ale kähler manifolds",
      "classification",
      "minimal ale",
      "isolated quotient singularity",
      "diffeomorphism types"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}