Differential Topology
Versal braid monodromy
Comptes Rendus. Mathématique, Volume 346 (2008) no. 15-16, pp. 873-876.

We extend the method of Zariski to determine the braid monodromy group of the discriminant of a versal unfolding of a hypersurface singularity from low-dimensional generic subunfoldings to highly non-generic ones. At the expense of an induction over adjacent singularities, it is thus possible to neglect genericity issues and perturb by very simple polynomials only.

Nous étendons la méthode de Zariski, qui sert à déterminer la monodromie des tresses pour le discriminant d'une déformation verselle de singularités d'une hypersurface, d'une sous-déformation générique de basse dimension vers des déformations hautement non génériques. Aux frais d'une induction sur les singularités adjacentes, mais sans devoir prendre en compte les questions de généricité, il est possible ainsi de déformer par des polynômes très simples.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2008.07.002
Lönne, Michael 1

1 Mathematisches Institut, Universität Bayreuth, Universitätsstraße 30, 95447 Bayreuth, Germany
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Lönne, Michael. Versal braid monodromy. Comptes Rendus. Mathématique, Volume 346 (2008) no. 15-16, pp. 873-876. doi : 10.1016/j.crma.2008.07.002. http://www.numdam.org/articles/10.1016/j.crma.2008.07.002/

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