{
  "id": "2006.08410",
  "version": "v1",
  "published": "2020-06-15T14:01:20.000Z",
  "updated": "2020-06-15T14:01:20.000Z",
  "title": "Mukai's Program (reconstructing a K3 surface from a curve) via wall-crossing, II",
  "authors": [
    "Soheyla Feyzbakhsh"
  ],
  "comment": "Corrects an error in arXiv:1710.06692, whose proof is only valid for g-1 a composite number",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let $C$ be a curve on a K3 surface $X$ with Picard group $\\mathbb{Z}.[C]$. Mukai's program seeks to recover $X$ from $C$ by exhibiting it as a Fourier-Mukai partner to a Brill-Noether locus of vector bundles on $C$. We use wall-crossing in the space of Bridgeland stability conditions to prove this for genus $\\ge14$. This paper deals with the case $g-1$ prime left over from Paper I.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-15T14:01:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28",
      "18E30",
      "14H60"
    ],
    "keywords": [
      "k3 surface",
      "wall-crossing",
      "mukais program seeks",
      "bridgeland stability conditions",
      "picard group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}