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arXiv · 2306.04601

Combinatorial study of morsifications of real univariate singularities

Arnaud Bodin·Evelia Rosa García Barroso·Patrick Popescu-Pampu·Miruna-Stefana Sorea
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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.

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Arnaud Bodin, Evelia Rosa García Barroso, Patrick Popescu-Pampu, Miruna-Stefana Sorea. 2023-06-07. Combinatorial study of morsifications of real univariate singularities. https://doi.org/10.1002/mana.202300418

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