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arXiv · 2307.04773

Local linear Morsifications

Mihai Tibăr
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Abstract

The number of Morse points in a Morsification determines the topology of the Milnor fibre of a holomorphic function germ $f$ with isolated singularity. If $f$ has an arbitrary singular locus, then this nice relation to the Milnor fibre disappears. We show that despite this loss, the numbers of stratified Morse singularities of a general linear Morsification are effectively computable in terms of topological invariants of $f$.

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Mihai Tibăr. 2023-07-08. Local linear Morsifications. https://doi.org/10.59277/rrmpa.2024.295.303

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