A view toward the smooth geometry of Sklyanin algebras
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915462781075456 |
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| author | Herrera, Karol Higuera, Sebastián Rubiano, Andrés |
| author_facet | Herrera, Karol Higuera, Sebastián Rubiano, Andrés |
| contents | We study the differential smoothness of Sklyanin algebras in three and four variables. We show that all non-degenerate three-dimensional cases are differentially smooth, while none of the four-dimensional Sklyanin algebras admit a connected integrable differential calculus of suitable dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19719 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A view toward the smooth geometry of Sklyanin algebras Herrera, Karol Higuera, Sebastián Rubiano, Andrés Differential Geometry Algebraic Geometry Rings and Algebras 16E45, 16E65, 16S37, 16S36, 16S38, 58B32, 58B34 We study the differential smoothness of Sklyanin algebras in three and four variables. We show that all non-degenerate three-dimensional cases are differentially smooth, while none of the four-dimensional Sklyanin algebras admit a connected integrable differential calculus of suitable dimension. |
| title | A view toward the smooth geometry of Sklyanin algebras |
| topic | Differential Geometry Algebraic Geometry Rings and Algebras 16E45, 16E65, 16S37, 16S36, 16S38, 58B32, 58B34 |
| url | https://arxiv.org/abs/2507.19719 |