{
  "id": "1710.06692",
  "version": "v1",
  "published": "2017-10-18T12:18:23.000Z",
  "updated": "2017-10-18T12:18:23.000Z",
  "title": "Mukai's program (reconstructing a K3 surface from a curve) via wall-crossing",
  "authors": [
    "Soheyla Feyzbakhsh"
  ],
  "comment": "34 pages, 15 figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $C$ be a curve of genus $g=11$ or $g \\geq 13$ on a K3 surface whose Picard group is generated by the curve class $[C]$. We use wall-crossing with respect to Bridgeland stability conditions to generalise Mukai's program to this situation: we show how to reconstruct the K3 surface containing the curve $C$ as a Fourier-Mukai transform of a Brill-Noether locus of vector bundles on $C$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-18T12:18:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28",
      "18E30",
      "14H60"
    ],
    "keywords": [
      "k3 surface",
      "reconstruct",
      "bridgeland stability conditions",
      "generalise mukais program",
      "wall-crossing"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}