Arnaud Bodin, Evelia Rosa García Barroso, Patrick Popescu‐Pampu, Miruna‐Ştefana Sorea
{"title":"Combinatorial study of morsifications of real univariate singularities","authors":"Arnaud Bodin, Evelia Rosa García Barroso, Patrick Popescu‐Pampu, Miruna‐Ştefana Sorea","doi":"10.1002/mana.202300418","DOIUrl":null,"url":null,"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.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1002/mana.202300418","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.