{
  "id": "0812.3939",
  "version": "v1",
  "published": "2008-12-20T06:09:13.000Z",
  "updated": "2008-12-20T06:09:13.000Z",
  "title": "Foliations on hypersurfaces in holomorphic symplectic manifolds",
  "authors": [
    "Justin Sawon"
  ],
  "comment": "43 pages, 3 figures",
  "journal": "International Mathematics Research Notices (2009), no. 23, 4496-4545",
  "categories": [
    "math.AG",
    "math.DG"
  ],
  "abstract": "Let Y be a hypersurface in a 2n-dimensional holomorphic symplectic manifold X. The restriction $\\sigma|_Y$ of the holomorphic symplectic form induces a rank one foliation on Y. We investigate situations where this foliation has compact leaves; in such cases we obtain a space of leaves Y/F which has dimension 2n-2 and admits a holomorphic symplectic form.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-20T06:09:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C26"
    ],
    "keywords": [
      "hypersurface",
      "2n-dimensional holomorphic symplectic manifold",
      "holomorphic symplectic form induces",
      "compact leaves",
      "leaves y/f"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.3939S"
    }
  }
}