Combinatorial study of morsifications of ...
Document type :
Pré-publication ou Document de travail
Title :
Combinatorial study of morsifications of real univariate singularities
Author(s) :
Bodin, Arnaud [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Barroso, Evelia Rosa García [Auteur]
Popescu-Pampu, Patrick [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Sorea, Miruna-Stefana [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Barroso, Evelia Rosa García [Auteur]
Popescu-Pampu, Patrick [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Sorea, Miruna-Stefana [Auteur]
Publication date :
2023-06-07
HAL domain(s) :
Mathématiques [math]
English abstract : [en]
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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Comment :
21 pages, 16 figures
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Source :
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