Noncommutative affine pencils of conics
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908984295817216 |
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| author | Hu, Haigang Mori, Izuru Takeda, Koki Wu, Wenchao |
| author_facet | Hu, Haigang Mori, Izuru Takeda, Koki Wu, Wenchao |
| contents | This paper is one of the series of papers which are dedicated to the complete classification of noncommutative conics. In this paper, we define and study noncommutative affine pencils of conics, and give a complete classification result. We also fully classify $4$-dimensional Frobenius algebras. It turns out that the classification of noncommutative affine pencils of conics is the same as the classification of $4$-dimensional Frobenius algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09393 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Noncommutative affine pencils of conics Hu, Haigang Mori, Izuru Takeda, Koki Wu, Wenchao Rings and Algebras Algebraic Geometry 16E65, 16S38, 16W50 This paper is one of the series of papers which are dedicated to the complete classification of noncommutative conics. In this paper, we define and study noncommutative affine pencils of conics, and give a complete classification result. We also fully classify $4$-dimensional Frobenius algebras. It turns out that the classification of noncommutative affine pencils of conics is the same as the classification of $4$-dimensional Frobenius algebras. |
| title | Noncommutative affine pencils of conics |
| topic | Rings and Algebras Algebraic Geometry 16E65, 16S38, 16W50 |
| url | https://arxiv.org/abs/2509.09393 |