Curves on Hirzebruch Surfaces and Semistability
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910946199339008 |
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| author | Cela, Alessio Lian, Carl |
| author_facet | Cela, Alessio Lian, Carl |
| contents | When $a\ge2$, we show that a general pointed curve never interpolates through the expected number of points in the Hirzebruch surface $\mathcal{H}_a$, with one exception. In the exceptional case, the number of such interpolating maps is determined by the geometric Tevelev degrees of $\mathbb{P}^1$, which have been previously computed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20677 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Curves on Hirzebruch Surfaces and Semistability Cela, Alessio Lian, Carl Algebraic Geometry When $a\ge2$, we show that a general pointed curve never interpolates through the expected number of points in the Hirzebruch surface $\mathcal{H}_a$, with one exception. In the exceptional case, the number of such interpolating maps is determined by the geometric Tevelev degrees of $\mathbb{P}^1$, which have been previously computed. |
| title | Curves on Hirzebruch Surfaces and Semistability |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2503.20677 |