{
  "id": "math/0509224",
  "version": "v3",
  "published": "2005-09-09T18:09:58.000Z",
  "updated": "2005-10-07T23:21:20.000Z",
  "title": "Lagrangian fibrations on Hilbert schemes of points on K3 surfaces",
  "authors": [
    "Justin Sawon"
  ],
  "comment": "21 pages, original (stronger) version of Theorem 2 proved",
  "journal": "J. Algebraic Geom. 16 (2007), no. 3, 477-497",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $\\mathrm{Hilb}^gS$ be the Hilbert scheme of $g$ points on a K3 surface $S$. Suppose that $\\mathrm{Pic}S\\cong\\Z C$ where $C$ is a smooth curve with $C^2=2(g-1)n^2$. We prove that $\\mathrm{Hilb}^gS$ is a Lagrangian fibration.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-10-07T23:21:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C26",
      "14D06",
      "14J28",
      "14J60"
    ],
    "keywords": [
      "hilbert scheme",
      "k3 surface",
      "lagrangian fibration"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9224S"
    }
  }
}