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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.11707 |
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| _version_ | 1866915339969757184 |
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| author | Agafonov, Sergey I. |
| author_facet | Agafonov, Sergey I. |
| contents | 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 Möbius symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_11707 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three Agafonov, Sergey I. Differential Geometry 53A60 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 Möbius symmetry. |
| title | Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three |
| topic | Differential Geometry 53A60 |
| url | https://arxiv.org/abs/2306.11707 |