{
  "id": "0903.2781",
  "version": "v2",
  "published": "2009-03-16T15:46:32.000Z",
  "updated": "2010-01-28T17:35:52.000Z",
  "title": "Hyperplane sections of abelian surfaces",
  "authors": [
    "Elisabetta Colombo",
    "Paola Frediani",
    "Giuseppe Pareschi"
  ],
  "comment": "final version, to appear in Journal of Algebraic Geometry",
  "categories": [
    "math.AG"
  ],
  "abstract": "By a theorem of Wahl, the canonically embedded curves which are hyperplane section of K3 surfaces are distinguished by the non-surjectivity of their Wahl map. In this paper we address the problem of distinguishing hyperplane sections of abelian surfaces. The somewhat surprising result is that the Wahl map of such curves is (tendentially) surjective, but their second Wahl map has corank at least 2 (in fact a more precise result is proved).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-01-28T17:35:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H10",
      "14K12"
    ],
    "keywords": [
      "abelian surfaces",
      "second wahl map",
      "somewhat surprising result",
      "k3 surfaces",
      "distinguishing hyperplane sections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.2781C"
    }
  }
}