{ "id": "0910.0100", "version": "v1", "published": "2009-10-01T07:48:14.000Z", "updated": "2009-10-01T07:48:14.000Z", "title": "The fundamental group of a generalized trigonal curve", "authors": [ "Alex Degtyarev" ], "journal": "Osaka J. Math., 48:3 (2011), 749--782", "categories": [ "math.AG" ], "abstract": "We develop a modification of the Zariski--van Kampen approach for the computation of the fundamental group of a trigonal curve with improper fibers. As an application, we list the deformation families and compute the fundamental groups of all irreducible maximizing simple sextics with a type $\\bold D$ singular point.", "revisions": [ { "version": "v1", "updated": "2009-10-01T07:48:14.000Z" } ], "analyses": { "subjects": [ "14H45", "14H30", "14H50" ], "keywords": [ "fundamental group", "generalized trigonal curve", "zariski-van kampen approach", "singular point", "irreducible maximizing simple sextics" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0910.0100D" } } }