{
  "id": "math/0310267",
  "version": "v1",
  "published": "2003-10-17T13:59:15.000Z",
  "updated": "2003-10-17T13:59:15.000Z",
  "title": "Birationally rigid Fano varieties",
  "authors": [
    "Aleksandr V. Pukhlikov"
  ],
  "comment": "24 pages, to appear in the Proceedings of Fano conference",
  "categories": [
    "math.AG"
  ],
  "abstract": "We give a brief survey of the concept of birational rigidity, from its origins in the two-dimensional birational geometry, to its current state. The main ingredients of the method of maximal singularities are discussed. The principal results of the theory of birational rigidity of higher-dimensional Fano varieties and fibrations are given and certain natural conjectures are formulated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-17T13:59:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E05",
      "14E07",
      "14E08"
    ],
    "keywords": [
      "birationally rigid fano varieties",
      "birational rigidity",
      "two-dimensional birational geometry",
      "higher-dimensional fano varieties",
      "brief survey"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10267P"
    }
  }
}