Periodic sharpness of Miyaoka's bound for smooth rational curves
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915657970352128 |
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| author | Degtyarev, Alex Rams, Sławomir |
| author_facet | Degtyarev, Alex Rams, Sławomir |
| contents | We determine the maximal number of smooth rational degree d curves on a complex K3-surface of degree 2n provided n is sufficiently large as compared to d>1. We obtain precise characterization of configurations of rational degree d curves for which Miyaoka's bound is sharp for nd odd and n sufficiently large as compared to d. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06145 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Periodic sharpness of Miyaoka's bound for smooth rational curves Degtyarev, Alex Rams, Sławomir Algebraic Geometry Primary: 14J28, Secondary 14N25 We determine the maximal number of smooth rational degree d curves on a complex K3-surface of degree 2n provided n is sufficiently large as compared to d>1. We obtain precise characterization of configurations of rational degree d curves for which Miyaoka's bound is sharp for nd odd and n sufficiently large as compared to d. |
| title | Periodic sharpness of Miyaoka's bound for smooth rational curves |
| topic | Algebraic Geometry Primary: 14J28, Secondary 14N25 |
| url | https://arxiv.org/abs/2512.06145 |