{
  "id": "1803.06412",
  "version": "v1",
  "published": "2018-03-16T21:55:46.000Z",
  "updated": "2018-03-16T21:55:46.000Z",
  "title": "Symplectic invariance of rational surfaces on Kähler manifolds",
  "authors": [
    "Jason Michael Starr"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "By work of Koll\\'{a}r and Ruan, uniruledness of K\\\"{a}hler manifolds is an invariant of the underlying symplectic manifold. Zhiyu Tian proved that rational connectedness is a symplectic invariant if the dimension is $\\leq 3$. We prove existence of a covering family of rational surfaces assuming positivity of certain gravitational descendants.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-16T21:55:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C05",
      "14N35"
    ],
    "keywords": [
      "kähler manifolds",
      "symplectic invariance",
      "rational surfaces assuming positivity",
      "zhiyu tian",
      "symplectic manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}