Combinatorial study of morsifications of real univariate singularities

Arnaud Bodin, Evelia Rosa García Barroso, Patrick Popescu‐Pampu and Miruna‐Ştefana Sorea

Mathematische Nachrichten, 2025, vol. 298, issue 2, 394-418

Abstract: We study a broad class of morsifications of germs of univariate real analytic functions. We characterize the combinatorial types of the resulting Morse functions via planar contact trees constructed from Newton–Puiseux roots of the polar curves of the morsifications.

Date: 2025
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https://doi.org/10.1002/mana.202300418

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:298:y:2025:i:2:p:394-418

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