{
  "id": "math/9810120",
  "version": "v1",
  "published": "1998-10-19T13:01:49.000Z",
  "updated": "1998-10-19T13:01:49.000Z",
  "title": "Abelian surfaces with two plane cubic curve fibrations and Calabi-Yau threefolds",
  "authors": [
    "Klaus Hulek",
    "Kristian Ranestad"
  ],
  "comment": "41 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "(1,d)-polarized abelian surfaces in P^(d-1) with two plane cubic curve fibrations lie in two elliptic P^2-scrolls. The union of these scrolls form a reducible Calabi-Yau 3-fold. In this paper we show that this occurs when d<10 and analyse the family of such surfaces and 3-folds in detail when d=6. In particular, the reducible Calabi-Yau 3-folds deform in that case to irreducible ones with non-normal singularities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-10-19T13:01:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14K10",
      "14J32"
    ],
    "keywords": [
      "abelian surfaces",
      "calabi-yau threefolds",
      "plane cubic curve fibrations lie",
      "reducible calabi-yau",
      "scrolls form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....10120H"
    }
  }
}