{
  "id": "1010.1923",
  "version": "v1",
  "published": "2010-10-10T14:27:02.000Z",
  "updated": "2010-10-10T14:27:02.000Z",
  "title": "Determinantal quartics and the computation of the Picard group",
  "authors": [
    "Andreas-Stephan Elsenhans",
    "Jörg Jahnel"
  ],
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We test the methods for computing the Picard group of a $K3$ surface in a situation of high rank. The examples chosen are resolutions of quartics in $\\bP^3$ having 14 singularities of type $A_1$. Our computations show that the method of R. van Luijk works well when sufficiently large primes are used.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-10T14:27:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28",
      "14C22",
      "14J27"
    ],
    "keywords": [
      "picard group",
      "determinantal quartics",
      "computation",
      "van luijk works",
      "high rank"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.1923E"
    }
  }
}