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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.16296 |
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| _version_ | 1866918452641398784 |
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| author | Hultgren, Jakob Khalid, Sohaib |
| author_facet | Hultgren, Jakob Khalid, Sohaib |
| contents | Let $π:(X,L)\rightarrow \mathbb D^*$ be the Fermat family of cubic curves in $\mathbb P^2$. For each $k\geq 1$, we construct a valuatively independent basis for $H^0(X,L^k)$. The construction uses a canonical cost function determined by a Hessian structure on the essential skeleton $\op{Sk}(X,π)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_16296 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Valuatively independent bases for the Fermat family of cubic curves Hultgren, Jakob Khalid, Sohaib Algebraic Geometry Differential Geometry Let $π:(X,L)\rightarrow \mathbb D^*$ be the Fermat family of cubic curves in $\mathbb P^2$. For each $k\geq 1$, we construct a valuatively independent basis for $H^0(X,L^k)$. The construction uses a canonical cost function determined by a Hessian structure on the essential skeleton $\op{Sk}(X,π)$. |
| title | Valuatively independent bases for the Fermat family of cubic curves |
| topic | Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2604.16296 |