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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| Опубліковано в: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2025 |
| ISSN: | 1815-0659 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2025
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| 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 |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862730066781274112 |
|---|---|
| author | Agafonov, Sergey I. |
| author_facet | Agafonov, Sergey I. |
| citation_txt | Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three. Sergey I. Agafonov. SIGMA 21 (2025), 043, 31 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2026-03-21T17:53:29Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-213533 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T17:53:29Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Agafonov, Sergey I. 2026-02-18T11:27:06Z 2025 Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three. Sergey I. Agafonov. SIGMA 21 (2025), 043, 31 pages 1815-0659 2020 Mathematics Subject Classification: 53A60 arXiv:2306.11707 https://nasplib.isofts.kiev.ua/handle/123456789/213533 https://doi.org/10.3842/SIGMA.2025.043 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. This research was supported by FAPESP grant # 2022/12813-5. The author thanks the anonymous referees for their valuable suggestions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three Article published earlier |
| spellingShingle | Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three Agafonov, Sergey I. |
| title | Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three |
| title_full | Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three |
| title_fullStr | Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three |
| title_full_unstemmed | Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three |
| title_short | Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three |
| title_sort | hexagonal circular 3-webs with reducible polar curves of degree three |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/213533 |
| work_keys_str_mv | AT agafonovsergeyi hexagonalcircular3webswithreduciblepolarcurvesofdegreethree |