{
  "id": "1302.2406",
  "version": "v3",
  "published": "2013-02-11T06:55:28.000Z",
  "updated": "2014-01-09T03:44:20.000Z",
  "title": "Proper holomorphic maps between bounded symmetric domains revisited",
  "authors": [
    "Gautam Bharali",
    "Jaikrishnan Janardhanan"
  ],
  "comment": "19 pages; typos corrected; missing hypothesis added to the statement of Lemma 4.2; to appear in Pacific J. Math",
  "categories": [
    "math.CV"
  ],
  "abstract": "We prove that a proper holomorphic map between two bounded symmetric domains of the same dimension, one of them being irreducible, is a biholomorphism. Our methods allow us to give a single, all-encompassing argument that unifies the various special cases in which this result is known. We discuss an application of these methods to domains having noncompact automorphism groups that are not assumed to act transitively.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-01-09T03:44:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32H02",
      "32M15",
      "32H10"
    ],
    "keywords": [
      "proper holomorphic map",
      "bounded symmetric domains",
      "noncompact automorphism groups",
      "special cases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.2406B"
    }
  }
}