{"title":"Rational maps of balls and their associated groups.","authors":"Dusty Grundmeier, Jiří Lebl","doi":"10.1007/s40863-024-00430-x","DOIUrl":null,"url":null,"abstract":"<p><p>Given a proper, rational map of balls, D'Angelo and Xiao introduced five natural groups encoding properties of the map. We study these groups using a recently discovered normal form for rational maps of balls. Using this normal form, we also provide several new groups associated to the map.</p>","PeriodicalId":43069,"journal":{"name":"Sao Paulo Journal of Mathematical Sciences","volume":"18 2","pages":"1793-1806"},"PeriodicalIF":0.4000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11628593/pdf/","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Sao Paulo Journal of Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s40863-024-00430-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/5/14 0:00:00","PubModel":"Epub","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Given a proper, rational map of balls, D'Angelo and Xiao introduced five natural groups encoding properties of the map. We study these groups using a recently discovered normal form for rational maps of balls. Using this normal form, we also provide several new groups associated to the map.
期刊介绍：
The São Paulo Journal of Mathematical Sciences (SPJM) is an international peer-reviewed journal that endeavors to publish high-quality original research articles and well-written expository articles on a broad range of theoretical and applied areas of mainstream mathematics that are of interest to a substantial number of its readers, including those areas of computer science and statistics with significant mathematical content. All submissions are carefully managed by a distinguished editorial board and checked for correctness and suitability for publication. The journal is the official publication of the University of São Paulo’s Institute of Mathematics and Statistics. Launched in 1993 under the name Resenhas do Instituto de Matemática e Estatística da Universidade de São Paulo, it originally only published papers written by invited senior mathematicians. In 2007 it adopted its current name and format, welcoming contributions in the diverse fields of the mathematical sciences in the English language.
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