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Stability of the Euler obstruction of a function - MaRDI portal

Stability of the Euler obstruction of a function (Q1758141)

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scientific article; zbMATH DE number 6103271
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Stability of the Euler obstruction of a function
scientific article; zbMATH DE number 6103271

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    Stability of the Euler obstruction of a function (English)
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    8 November 2012
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    The stability of the Euler obstruction of families of functions with isolated singularities on the germ of a weighted homogeneous hypersurface with isolated singularities and on holonomic free divisors is studied. The Euler obstruction was introduced by \textit{R. D. MacPherson} [Ann. Math. (2) 100, 423--432 (1974; Zbl 0311.14001)]. For an overview, see [\textit{J. P. Brasselet}, in: Proceedings of the XI Brazilian topology meeting, Rio Claro, Brazil, August 3-7, 1998. Singapore: World Scientific. 140--147 (2000; Zbl 1007.32007)].
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    Euler obstruction
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    Milnor number
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    stability
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    free divisors
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