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

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 are the classification of hexagonal circular 3-webs with reducible polar curves of degree 3...

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Бібліографічні деталі
Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2025
Автор: Agafonov, Sergey I.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2025
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/213533
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three. Sergey I. Agafonov. SIGMA 21 (2025), 043, 31 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
Опис
Резюме: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 are the classification of hexagonal circular 3-webs with reducible polar curves of degree 3 and the description of hexagonal circular 3-webs admitting a one-parameter Möbius symmetry.
ISSN:1815-0659