Braid Monodromy of Hypersurface Singularities

Details Braid Monodromy of Hypersurface Singularities Braid Monodromy of Hypersurface Singularities

2006-02-17

arxiv.org/abs/math/0602371v1

Mathematics

Algebraic Geometry

159 pages

Scientific paper

We introduce braid monodromy for the discriminant hypersurface in versal unfoldings of hypersurface singularities. Our objective is then to compute this invariant for singularities of Brieskorn Pham type: First we consider the unfolding by linear monomials in some detail and relate it to the versal unfolding. Next we present the A_n case in our framework. The two main chapters then provide the result in case of two variables and the inductive step to all higher dimensions. We finish with a presentation of the fundamental group of the discriminant complement.

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