Limits of tangents and minimality of complex links |
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Authors: | Mihai Tib?r |
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Affiliation: | U.F.R de Mathématiques, UMR 8524, CNRS, Université des Sciences et Technologies de Lille, 59655 Villeneuve d'Ascq, Cedex, France |
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Abstract: | We show that the complex link of a large class of space germs (X,x0) is characterized by its “simplicity”, among the Milnor fibres of functions with isolated singularity on X. This amounts to the minimality of the Milnor number, whenever this number is defined. Such a phenomenon has been first pointed out in case (X,x0) is an isolated hypersurface singularity, by Teissier (Cycles évanescents, sections planes et conditions de Whitney, in: Singularités à Cargèse 1972, Asterisque, Nos. 7 et 8, Soc. Math. France, Paris, 1973, pp. 285-362). |
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Keywords: | 32S30 14J17 32C42 |
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