On Clifford dimension for singular curves
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_ | 1866912490351230976 |
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| author | Feital, Lia Galdino, Naamã Martins, Renato Vidal de Souza, Átila Felipe |
| author_facet | Feital, Lia Galdino, Naamã Martins, Renato Vidal de Souza, Átila Felipe |
| contents | We study the Clifford dimension of an integral curve. To do so, we extend the notion of Clifford index, allowing torsion-free sheaves on its computation. We derive results for arbitrary curves, and then focus on the monomial case. In this context, we obtain combinatorial formulae for the Clifford index and apply them to the case of Clifford dimension $2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13506 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Clifford dimension for singular curves Feital, Lia Galdino, Naamã Martins, Renato Vidal de Souza, Átila Felipe Algebraic Geometry We study the Clifford dimension of an integral curve. To do so, we extend the notion of Clifford index, allowing torsion-free sheaves on its computation. We derive results for arbitrary curves, and then focus on the monomial case. In this context, we obtain combinatorial formulae for the Clifford index and apply them to the case of Clifford dimension $2$. |
| title | On Clifford dimension for singular curves |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2507.13506 |