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arXiv · 2306.11707

Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three

Sergey I. Agafonov
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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.

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Sergey I. Agafonov. 2023-06-20. Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three. https://doi.org/10.3842/sigma.2025.043

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