{
  "id": "2011.08727",
  "version": "v1",
  "published": "2020-11-17T15:57:47.000Z",
  "updated": "2020-11-17T15:57:47.000Z",
  "title": "Rational curves and MBM classes on hyperkahler manifolds: a survey",
  "authors": [
    "Ekaterina Amerik",
    "Misha Verbitsky"
  ],
  "comment": "25 pages, to appear in the Progress in Math. volume of the Schiermonnikoog conference on rationality (April 2019)",
  "categories": [
    "math.AG"
  ],
  "abstract": "This paper deals with rational curves and birational contractions on irreducible holomorphically symplectic manifold. We survey some recent results about minimal rational curves, their deformations, extremal rays associated with these curves, and the geometry of the K\\\"ahler cone.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-17T15:57:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E30",
      "14J32"
    ],
    "keywords": [
      "hyperkahler manifolds",
      "mbm classes",
      "minimal rational curves",
      "irreducible holomorphically symplectic manifold",
      "birational contractions"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}