{
  "id": "1712.05564",
  "version": "v1",
  "published": "2017-12-15T07:19:30.000Z",
  "updated": "2017-12-15T07:19:30.000Z",
  "title": "The rationality problem for conic bundles",
  "authors": [
    "Yuri Prokhorov"
  ],
  "comment": "80 pages, LaTeX, expository paper submitted to Uspeshi Mat. Nauk",
  "categories": [
    "math.AG"
  ],
  "abstract": "This expository paper is concerned with the rationality problems for three-dimensional algebraic varieties with a conic bundle structure. We discuss the main methods of this theory. We sketch the proofs of certain principal results, and present some recent achievements. Many open problems are also stated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-15T07:19:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E08",
      "14E07",
      "14E30",
      "14J30",
      "14J45"
    ],
    "keywords": [
      "rationality problem",
      "three-dimensional algebraic varieties",
      "conic bundle structure",
      "open problems",
      "expository paper"
    ],
    "tags": [
      "expository article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 80,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}