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Braid Monodromy of Hypersurface Singularities

代数几何 2007-05-23 v1

摘要

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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引用

@article{arxiv.math/0602371,
  title  = {Braid Monodromy of Hypersurface Singularities},
  author = {Michael Lönne},
  journal= {arXiv preprint arXiv:math/0602371},
  year   = {2007}
}

备注

159 pages