Combinatorial study of morsifications of real univariate singularities

Pub Date : 2024-07-11 DOI:10.1002/mana.202300418
Arnaud Bodin, Evelia Rosa García Barroso, Patrick Popescu‐Pampu, Miruna‐Ştefana 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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实单变量奇异点的组合研究
我们研究了单变量实解析函数胚芽的一大类莫尔斯函数。我们通过由莫西化极坐标曲线的牛顿-普伊塞克斯根构建的平面接触树,描述了由此产生的莫尔斯函数的组合类型。
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