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• W3167812281 endingPage "332" @default.
• W3167812281 startingPage "313" @default.
• W3167812281 abstract "In this work we study the topology of complex non-isolated hypersurface singularities. Inspired by work of Siersma and others, we compare the topology of the link Lf with that of the boundary of the Milnor fiber, ∂Ff. We review the three proofs in the literature showing that for functions ({mathbb {C}}^3 to {mathbb {C}}), the manifold ∂Ff is Waldhausen: one by Némethi-Szilárd, another by Michel-Pichon and a more recent one by Fernández de Bobadilla-Menegon. We then consider an arbitrary real analytic space with an isolated singularity and maps on it with an isolated critical value. We study and define for these the concept of vanishing zone for the Milnor fiber, when this exists. We then introduce the concept of vanishing boundary cycles and compare the homology of Lf and that of ∂Ff. For holomorphic map germs with a one-dimensional critical set, we give a necessary and sufficient condition to have that ∂Ff and Lf are homologically equivalent." @default.
• W3167812281 created "2021-06-22" @default.
• W3167812281 creator A5037740636 @default.
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• W3167812281 date "2021-01-01" @default.
• W3167812281 modified "2023-10-16" @default.
• W3167812281 title "On the Boundary of the Milnor Fiber" @default.
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• W3167812281 doi "https://doi.org/10.1007/978-3-030-61958-9_14" @default.
• W3167812281 hasPublicationYear "2021" @default.
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