{
  "id": "1802.10210",
  "version": "v1",
  "published": "2018-02-27T23:40:45.000Z",
  "updated": "2018-02-27T23:40:45.000Z",
  "title": "Real and complex multiplication on K3 surfaces via period integration",
  "authors": [
    "Andreas-Stephan Elsenhans",
    "Jörg Jahnel"
  ],
  "categories": [
    "math.AG",
    "math.AT",
    "math.NT"
  ],
  "abstract": "We report on a new approach, as well as some related experiments, to construct families of K3 surfaces having real or complex multiplication. Fundamental ideas include considering the period space of marked K3 surfaces, determining the periods by numerical integration, as well as tracing the modular curve by a numerical continuation method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-27T23:40:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28",
      "14J15",
      "14F25",
      "65D30",
      "65D10"
    ],
    "keywords": [
      "complex multiplication",
      "period integration",
      "construct families",
      "fundamental ideas",
      "period space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}