{ "id": "1211.5670", "version": "v1", "published": "2012-11-24T13:49:28.000Z", "updated": "2012-11-24T13:49:28.000Z", "title": "The singularities of the maps associated with Milnor fibrations", "authors": [ "Daiki Sumida" ], "comment": "16 pages, Milnor fibration, singular point, fold point", "categories": [ "math.GT" ], "abstract": "Milnor fibrations have been studied since 1960's. In this paper, we study singular points of differentiable maps, called Milnor fibration product maps, obtained by several Milnor fibrations. We give a characterization of singular points of such product maps, and for the case of certain weighted homogeneous polynomials, a criterion for a fold point together with its index.", "revisions": [ { "version": "v1", "updated": "2012-11-24T13:49:28.000Z" } ], "analyses": { "subjects": [ "32S55", "32S25" ], "keywords": [ "milnor fibration product maps", "singularities", "study singular points", "fold point" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1211.5670S" } } }