Variation of the Milnor Fibration in Pencils of Hypersurface Singularities |
| |
Authors: | Caubel Clement |
| |
Institution: | Mathematisches Institut, Universität Basel Rheinsprung 21, CH-4051, Basel, Switzerland, caubel{at}math.unibas.ch |
| |
Abstract: | Let = (f, g):(Cn+ 1,0) (C2, 0) be a pair of holomorphic germswith no blowing up in codimension 0. (Two examples are the following: defines an isolated complete intersection singularity; g =lN where is a generic linear form with respect to f and N>0.) We study how the Milnor fibrations of the germs (:ß)= g-ß f are related to each other when (:ß)varies in P1. More precisely, we construct isotopic subfibrationsor subfibres of the Milnor fibrations of any two such germs.The proofs are based on the precise study of the subdiscs ofcomplex lines meeting a fixed complex plane curve germ transversally,generalizing Lê's work on the Cerf diagram. 2000 MathematicalSubject Classification: 32S55, 32S15, 32S30. |
| |
Keywords: | |
本文献已被 Oxford 等数据库收录! |
|