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Comptes Rendus Mathématique
Volume 346, n° 15-16
pages 873-876 (août 2008)
Doi : 10.1016/j.crma.2008.07.002
Received : 28 February 2008 ;  accepted : 1 July 2008
Versal braid monodromy
Monodromie verselle des tresses
 

Michael Lönne
Mathematisches Institut, Universität Bayreuth, Universitätsstraße 30, 95447 Bayreuth, Germany 

Abstract

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. To cite this article: M. Lönne, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.
Résumé

Nous étendons la méthode de Zariski, qui sert à déterminer la monodromie des tresses pour le discriminant dʼune déformation verselle de singularités dʼune hypersurface, dʼune sous-déformation générique de basse dimension vers des déformations hautement non génériques. Aux frais dʼune 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. Pour citer cet article : M. Lönne, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

The full text of this article is available in PDF format.


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