Braid Monodromy of Hypersurface Singularities
Algebraic Geometry
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0602371,
title = {Braid Monodromy of Hypersurface Singularities},
author = {Michael Lönne},
journal= {arXiv preprint arXiv:math/0602371},
year = {2007}
}
Comments
159 pages