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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2509.09502 |
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| _version_ | 1866908533078884352 |
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| author | Melo, Margarida Zheng, Angelina |
| author_facet | Melo, Margarida Zheng, Angelina |
| contents | This paper is a follow-up of a previous work in which we show that, for a $3$-edge connected tropical curve $Γ$, the existence of a divisor of degree $3$ and Baker-Norine rank at least $1$ in $Γ$ is equivalent to the existence of a non-degenerate harmonic morphism of degree $3$ from a tropical modification of $Γ$ to a tropical rational curve. In this work, we extend this result to a tropical curve with lower edge connectivity which does not contain a cycle of (at least three) separating vertices (a so-called necklace). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09502 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tropical trigonal curves: the general case Melo, Margarida Zheng, Angelina Algebraic Geometry 14T05 This paper is a follow-up of a previous work in which we show that, for a $3$-edge connected tropical curve $Γ$, the existence of a divisor of degree $3$ and Baker-Norine rank at least $1$ in $Γ$ is equivalent to the existence of a non-degenerate harmonic morphism of degree $3$ from a tropical modification of $Γ$ to a tropical rational curve. In this work, we extend this result to a tropical curve with lower edge connectivity which does not contain a cycle of (at least three) separating vertices (a so-called necklace). |
| title | Tropical trigonal curves: the general case |
| topic | Algebraic Geometry 14T05 |
| url | https://arxiv.org/abs/2509.09502 |