Weak Whitney regularity implies equimultiplicity for families of complex hypersurfaces
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 25 (2016) no. 1, pp. 161-170.

Nous démontrons que la régularité faible de Whitney pour une famille d’hypersurfaces complexes à singularités isolées implique l’équimultiplicité.

We prove that weak Whitney regularity for a family of complex hypersurfaces with isolated singularities implies equimultiplicity.

Publié le :
DOI : 10.5802/afst.1490
Trotman, David 1, 2 ; van Straten, Duco 3

1 Institut de Mathématiques de Marseille, Centre de Mathématique et Informatique, Aix-Marseille
2 Université, 39 rue Joliot-Curie, F-13453 Marseille Cedex 13
3 Fachbereich 08, AG Algebraische Geometrie, Johannes Gutenberg-Universität,D-55099 Mainz
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Trotman, David; van Straten, Duco. Weak Whitney regularity implies equimultiplicity for families of complex hypersurfaces. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 25 (2016) no. 1, pp. 161-170. doi : 10.5802/afst.1490. http://archive.numdam.org/articles/10.5802/afst.1490/

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