{
  "id": "1312.3492",
  "version": "v3",
  "published": "2013-12-12T14:21:50.000Z",
  "updated": "2015-04-05T02:24:21.000Z",
  "title": "About the surjectivity of the Wahl map of nodal curves on K3 surfaces",
  "authors": [
    "Mihai Halic"
  ],
  "comment": "Corrigendum: Modular properties of nodal curves on K3 surfaces",
  "categories": [
    "math.AG"
  ],
  "abstract": "I correct an error in my article arXiv:0911.5474, concerning the non-surjectivity of the Wahl map of nodal curves on K3 surfaces. I prove that a modification of the Wahl map is indeed non-surjective for nodal curves with a low number of nodes, on arbitrary K3 surfaces. Along the way, I also obtain a lower bound of independent interest for the multiple point Seshadri constants of K3 surfaces with cyclic Picard group.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-10T21:10:51.000Z",
      "abstract": "I correct an error in my article <a href=\"http://arxiv.org/abs/0911.5474\">arXiv:0911.5474</a>, concerning the non-surjectivity of the Wahl map of nodal curves on K3 surfaces. I prove that a modification of the Wahl map is indeed non-surjective for nodal curves with a low number of nodes, on arbitrary K3 surfaces. Along the way, I also obtain a lower bound for the multiple point Seshadri constants of K3 surfaces with cyclic Picard group, of independent interest.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-04-05T02:24:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "14J28",
      "14D15",
      "14C20"
    ],
    "keywords": [
      "nodal curves",
      "wahl map",
      "multiple point seshadri constants",
      "arbitrary k3 surfaces",
      "cyclic picard group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.3492H"
    }
  }
}