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Braid Monodromy of Hypersurface Singularities

Michael Lönne
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Abstract

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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Michael Lönne. 2006-02-17. Braid Monodromy of Hypersurface Singularities. https://arxiv.org/abs/math/0602371

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