Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three
Differential Geometry
2025-06-16 v3
Abstract
The paper reports the progress with the classical problem, posed by Blaschke and Bol in 1938. We present new examples and new classifications of natural classes of hexagonal circular 3-webs. The main results is the classification of hexagonal circular 3-webs with reducible polar curves of degree 3 and description of hexagonal circular 3-webs admitting a one-parameter M\"obius symmetry.
Cite
@article{arxiv.2306.11707,
title = {Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three},
author = {Sergey I. Agafonov},
journal= {arXiv preprint arXiv:2306.11707},
year = {2025}
}