The Harder-Narasimhan Filtration of a Trigonal Canonical Curve
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915295644352512 |
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| author | Fontana, Henry |
| author_facet | Fontana, Henry |
| contents | A trigonal canonical curve lies on a rational normal surface scroll $Q \subset \mathbb{P}^{g-1}$. In this note we use this fact to compute the Harder-Narasimhan filtration of the normal bundle of a general such curve $C$ in $\mathbb{P}^{g-1}$. We also compute the Harder-Narasimhan filtration of the Normal bundle of a general canonical curve of genus $6$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14907 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Harder-Narasimhan Filtration of a Trigonal Canonical Curve Fontana, Henry Algebraic Geometry Primary: 14H60, Secondary: 14H45 A trigonal canonical curve lies on a rational normal surface scroll $Q \subset \mathbb{P}^{g-1}$. In this note we use this fact to compute the Harder-Narasimhan filtration of the normal bundle of a general such curve $C$ in $\mathbb{P}^{g-1}$. We also compute the Harder-Narasimhan filtration of the Normal bundle of a general canonical curve of genus $6$. |
| title | The Harder-Narasimhan Filtration of a Trigonal Canonical Curve |
| topic | Algebraic Geometry Primary: 14H60, Secondary: 14H45 |
| url | https://arxiv.org/abs/2505.14907 |