Nous étudions les déformations des hypersurfaces avec lieu singulier de dimension un par deux méthodes différentes. La première méthode utilise les nombres de Lê d’une singularité d’hypersurface, ceci est un exemple de méthode “polaire”. La seconde consiste à étudier le nombre de certains types spéciaux de singularités des déformations génériques de l’hypersurface donnée. Nous comparons ces deux méthodes et donnons beaucoup d’exemples.
We study deformations of hypersurfaces with one-dimensional singular loci by two different methods. The first method is by using the Le numbers of a hypersurfaces singularity — this falls under the general heading of a “polar” method. The second method is by studying the number of certain special types of singularities which occur in generic deformations of the original hypersurface. We compare and contrast these two methods, and provide a large number of examples.
@article{AIF_1992__42_4_737_0,
author = {Massey, David B. and Siersma, Dirk},
title = {Deformation of polar methods},
journal = {Annales de l'Institut Fourier},
volume = {42},
year = {1992},
pages = {737-778},
doi = {10.5802/aif.1308},
mrnumber = {94h:32059},
zbl = {0760.32017},
language = {en},
url = {http://dml.mathdoc.fr/item/AIF_1992__42_4_737_0}
}
Massey, David B.; Siersma, Dirk. Deformation of polar methods. Annales de l'Institut Fourier, Tome 42 (1992) pp. 737-778. doi : 10.5802/aif.1308. http://gdmltest.u-ga.fr/item/AIF_1992__42_4_737_0/
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