{
  "id": "0911.5474",
  "version": "v1",
  "published": "2009-11-29T15:46:50.000Z",
  "updated": "2009-11-29T15:46:50.000Z",
  "title": "Modular properties of nodal curves on K3 surfaces",
  "authors": [
    "Mihai Halic"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we partially address two issues: - The first is a rigidity property for pairs (S,C) consisting of a general projective K3 surface S, and a curve C obtained as the normalization of a nodal, hyperplane section of S. We prove that a non-trivial deformation of such a pair (S,C) induces a non-trivial deformation of C; - The second question concerns the Wahl map of curves C as above. We prove that the Wahl map of the normalization of a nodal curve contained in a general projective K3 surface is non-surjective. In both cases, we impose upper bounds on the number of nodes of the hyperplane section.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-29T15:46:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "14J28",
      "14D15"
    ],
    "keywords": [
      "nodal curve",
      "modular properties",
      "general projective k3 surface",
      "wahl map",
      "hyperplane section"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.5474H"
    }
  }
}