球及其相关群的有理映射。

IF 0.4 Q4 MATHEMATICS

Sao Paulo Journal of Mathematical Sciences Pub Date : 2024-01-01 Epub Date: 2024-05-14 DOI:10.1007/s40863-024-00430-x

Dusty Grundmeier, Jiří Lebl

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引用次数: 0

摘要

D’angelo和Xiao给出了一个合适的、有理的球图，引入了5个自然群来编码球图的属性。我们使用最近发现的球的有理映射的正规形式来研究这些群。使用这种标准形式，我们还提供了几个与映射关联的新组。

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Rational maps of balls and their associated groups.

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.

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来源期刊

Sao Paulo Journal of Mathematical Sciences MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

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.