{
  "id": "1005.5558",
  "version": "v4",
  "published": "2010-05-30T19:47:00.000Z",
  "updated": "2011-03-01T13:34:08.000Z",
  "title": "Geometric transitions between Calabi-Yau threefolds related to Kustin-Miller unprojections",
  "authors": [
    "Michal Kapustka"
  ],
  "comment": "to appear in Journal of Geometry and Physics",
  "journal": "J.Geom.Phys.61:1309-1318,2011",
  "doi": "10.1016/j.geomphys.2011.02.022",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study Kustin-Miller unprojections between Calabi-Yau threefolds or more precisely the geometric transitions they induce. We use them to connect many families of Calabi-Yau threefolds with Picard number one to the web of Calabi Yau complete intersections. This enables us to find explicit description of a few known families of Calabi-Yau threefolds in terms of equations. Moreover we find two new examples of Calabi-Yau threefolds with Picard group of rank one, described by Pfaffian equations in weighted projective spaces.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-03-01T13:34:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J32",
      "14J81"
    ],
    "keywords": [
      "calabi-yau threefolds",
      "geometric transitions",
      "calabi yau complete intersections",
      "study kustin-miller unprojections",
      "picard group"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Geometry and Physics",
      "year": 2011,
      "month": "Aug",
      "volume": 61,
      "number": 8,
      "pages": 1309
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 857028,
      "adsabs": "2011JGP....61.1309K"
    }
  }
}