Remarks on the Topology of Real and Complex Analytic Map-Germs

José Seade ()
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José Seade: Universidad Nacional Autónoma de México, Instituto de Matemáticas

A chapter in Singularities and Computer Algebra, 2017, pp 257-274 from Springer

Abstract: Abstract We study the topology of analytic map-germs $$X^{n}\stackrel{f}{\rightarrow }K^{p}$$ , n > p, near an isolated singularity, where K is either $$\mathbb{R}$$ or $$\mathbb{C}$$ and X is (accordingly) real or complex analytic. We do it in a way, now classical, that springs from work by Gert-Martin Greuel and Lê Dũng Tráng and somehow goes back to Lefschetz, namely by comparing the topology of the fibres of f with that of the functions one gets by dropping one of the components of the map-germ f.

Keywords: Index; Lê-Greuel formula; Milnor fibre and number; Stratified vector fields (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-28829-1_12

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DOI: 10.1007/978-3-319-28829-1_12

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