Rational Maps of Balls and their Associated Groups
Complex Variables
2025-11-14 v2
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.
Keywords
Cite
@article{arxiv.2402.03152,
title = {Rational Maps of Balls and their Associated Groups},
author = {Dusty Grundmeier and Jiří Lebl},
journal= {arXiv preprint arXiv:2402.03152},
year = {2025}
}
Comments
11 pages. Fixed typos