Clustering polar curves
Complex Variables
2022-05-18 v2 Algebraic Geometry
Abstract
This essay builds on the idea of grouping the polar curves of 2-variable function germs into polar clusters. In the topological category, one obtains a bijective correspondence between certain partitions of the polar quotients of two topologically equivalent function germs. We explain how this bijective correspondence may be refined in the Lipschitz category in terms of the associated gradient canyons.
Keywords
Cite
@article{arxiv.2105.14578,
title = {Clustering polar curves},
author = {Piotr Migus and Laurenţiu Păunescu and Mihai Tibăr},
journal= {arXiv preprint arXiv:2105.14578},
year = {2022}
}
Comments
updated, revised version