{
  "id": "math/9807035",
  "version": "v2",
  "published": "1998-07-08T15:24:20.000Z",
  "updated": "2000-05-24T04:20:20.000Z",
  "title": "Deformation of spherical CR structures and the universal Picard variety",
  "authors": [
    "Jih-Hsin Cheng",
    "I-Hsun Tsai"
  ],
  "comment": "57 pages",
  "journal": "Commun. Anal. and Geom., 8(2000), 301-346",
  "categories": [
    "math.DG",
    "math.AG"
  ],
  "abstract": "We study deformation of spherical $CR$ circle bundles over Riemann surfaces of genus > 1. There is a one to one correspondence between such deformation space and the so-called universal Picard variety. Our differential-geometric proof of the structure and dimension of the unramified universal Picard variety has its own interest, and our theory has its counterpart in the Teichmuller theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-05-24T04:20:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32G07",
      "32G15"
    ],
    "keywords": [
      "spherical cr structures",
      "unramified universal picard variety",
      "teichmuller theory",
      "circle bundles",
      "study deformation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 57,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......7035C"
    }
  }
}