A study of general Martens-special chains of cycles
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912066604892160 |
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| author | Coppens, Marc |
| author_facet | Coppens, Marc |
| contents | For a general Martens-special chain of cycles $Γ$ of type $k$ we prove that the gonality is equal to $k+2$. Although $\dim (W^1_{k+2} (Γ))=k$ we prove that $w^1_{k+2}(Γ)=0$. We also compute the gonality sequence of $Γ$ and we prove it is divisorial complete. We prove that a general Martens-special discrete chain of cycles $G$ of type $k$ has the same gonality sequence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07180 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A study of general Martens-special chains of cycles Coppens, Marc Algebraic Geometry Combinatorics 05C25, 14T15 For a general Martens-special chain of cycles $Γ$ of type $k$ we prove that the gonality is equal to $k+2$. Although $\dim (W^1_{k+2} (Γ))=k$ we prove that $w^1_{k+2}(Γ)=0$. We also compute the gonality sequence of $Γ$ and we prove it is divisorial complete. We prove that a general Martens-special discrete chain of cycles $G$ of type $k$ has the same gonality sequence. |
| title | A study of general Martens-special chains of cycles |
| topic | Algebraic Geometry Combinatorics 05C25, 14T15 |
| url | https://arxiv.org/abs/2410.07180 |