{
  "id": "1309.0496",
  "version": "v3",
  "published": "2013-09-02T19:50:15.000Z",
  "updated": "2014-04-28T12:13:15.000Z",
  "title": "Mukai's program for curves on a K3 surface",
  "authors": [
    "Enrico Arbarello",
    "Andrea Bruno",
    "Edoardo Sernesi"
  ],
  "comment": "Final version. To appear in \"Algebraic Geometry\"",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let C be a general element in the locus of curves in M_g lying on some K3 surface, where g is congruent to 3 mod 4 and greater than or equal to 15. Following Mukai's ideas, we show how to reconstruct the K3 surface as a Fourier-Mukai transform of a Brill-Noether locus of rank two vector bundles on C.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-04-28T12:13:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28"
    ],
    "keywords": [
      "k3 surface",
      "mukais program",
      "vector bundles",
      "mukais ideas",
      "fourier-mukai transform"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.0496A"
    }
  }
}