{ "id": "math/0109169", "version": "v1", "published": "2001-09-22T22:47:23.000Z", "updated": "2001-09-22T22:47:23.000Z", "title": "Pinching surface groups in complex hyperbolic plane", "authors": [ "Igor Belegradek" ], "comment": "this is a revised version of my preprint written in 1995", "categories": [ "math.DG" ], "abstract": "We construct first examples of discrete geometrically finite subgroups of PU(2,1) which contain parabolic elements, and are isomorphic to surface groups.", "revisions": [ { "version": "v1", "updated": "2001-09-22T22:47:23.000Z" } ], "analyses": { "subjects": [ "30F40", "53C55", "57M50" ], "keywords": [ "complex hyperbolic plane", "pinching surface groups", "construct first examples", "contain parabolic elements", "discrete geometrically finite subgroups" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001math......9169B" } } }