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- W1546140900 abstract "This work is divided into two distinct parts. In the first part we characterize the Le numbers of polynomials that are products of PhamBrieskorn polynomials of the same type that we call Pham-Brieskorn arrangements, obtaining formulas to these numbers only using the number of variables, weights and degree of homogeneity of these polynomials. In the second part we are dedicated to establishing relationships between Le numbers, which is a local concept, and the Milnor classes, which are global objects that provide information about the geometry and topology of complex analytic hypersurfaces. In a general context, using the hypothesis of specialization we relate the top dimensional Milnor class of a hypersurface Z in a compact manifold M with a sum given in terms of the last Le number associated to each stratum of a Whitney estratification of Z (with connected strata) that are contained in singular set. Moreover, we obtain a characterization of the Milnor class of minimum dimension via the Le numbers without using the hypothesis of specialization. This class coincides with the Milnor number of Parusinski that, as the Le numbers, it is also a generalization of the Milnor number." @default.
- W1546140900 created "2016-06-24" @default.
- W1546140900 creator A5000602697 @default.
- W1546140900 date "2015-11-11" @default.
- W1546140900 modified "2023-09-27" @default.
- W1546140900 title "Números de Lê e classes de Milnor de hipersuperfícies analíticas complexas" @default.
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- W1546140900 doi "https://doi.org/10.11606/t.55.2010.tde-15042010-161340" @default.
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