On Enriques-Babbage Theorem 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_ | 1866909964056920064 |
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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 propose a version of the Enriques-Babagge Theorem for a singular curve $C$, involving its canonical model $C'$. We provide a partial proof for an arbitrary curve $C$ and complete the proof for unicuspidal monomial curves by describing the generators of the ideal of $C'\subset\mathbb{P}^{g-1}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09874 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Enriques-Babbage Theorem for singular curves Feital, Lia Galdino, Naamã Martins, Renato Vidal de Souza, Átila Felipe Algebraic Geometry We propose a version of the Enriques-Babagge Theorem for a singular curve $C$, involving its canonical model $C'$. We provide a partial proof for an arbitrary curve $C$ and complete the proof for unicuspidal monomial curves by describing the generators of the ideal of $C'\subset\mathbb{P}^{g-1}$. |
| title | On Enriques-Babbage Theorem for singular curves |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2511.09874 |