Second gonality of smooth aCM curves on quartic surfaces in $\mathbb{P}^3$
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911626377035776 |
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| author | Watanabe, Kenta |
| author_facet | Watanabe, Kenta |
| contents | For a smooth irreducible curve $C$, its second gonality $d_2$ is defined to be the minimum integer $d$ such that $C$ admits a linear series $g_d^2$. In this paper, we compute the second gonality of a smooth aCM curve $C$ lying on a smooth quartic surface in $\mathbb{P}^3$, whose Clifford index is computed by a net on $C$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_24445 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Second gonality of smooth aCM curves on quartic surfaces in $\mathbb{P}^3$ Watanabe, Kenta Algebraic Geometry Computational Geometry 14J28, 14J60, 14H60 For a smooth irreducible curve $C$, its second gonality $d_2$ is defined to be the minimum integer $d$ such that $C$ admits a linear series $g_d^2$. In this paper, we compute the second gonality of a smooth aCM curve $C$ lying on a smooth quartic surface in $\mathbb{P}^3$, whose Clifford index is computed by a net on $C$. |
| title | Second gonality of smooth aCM curves on quartic surfaces in $\mathbb{P}^3$ |
| topic | Algebraic Geometry Computational Geometry 14J28, 14J60, 14H60 |
| url | https://arxiv.org/abs/2604.24445 |