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| Main Authors: | , |
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| Formato: | Preprint |
| Publicado em: |
2024
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| Assuntos: | |
| Acesso em linha: | https://arxiv.org/abs/2403.08064 |
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Sumário:
- We prove that there are at most $(24-r_0)$ low-degree rational curves on high-degree models of K3 surfaces with at most Du Val singularities, where $r_0$ is the number of exceptional divisors on the minimal resolution. We also provide several existence results in the above setting (i.e. for rational curves on quasi-polarized K3 surfaces), which imply that for various values of $r_0$ our bound cannot be improved.