Miyaoka's bound for conics on K3 surfaces and beyond
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915222217818112 |
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| author | Rams, Sławomir Schütt, Matthias |
| author_facet | Rams, Sławomir Schütt, Matthias |
| contents | We show that Miyaoka's bound for the number of conics on a degree-2h K3 surface is attained for high h, and analogously for higher even degree (smooth) rational curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00778 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Miyaoka's bound for conics on K3 surfaces and beyond Rams, Sławomir Schütt, Matthias Algebraic Geometry Primary: 14J28, Secondary 14J27, 14C20 We show that Miyaoka's bound for the number of conics on a degree-2h K3 surface is attained for high h, and analogously for higher even degree (smooth) rational curves. |
| title | Miyaoka's bound for conics on K3 surfaces and beyond |
| topic | Algebraic Geometry Primary: 14J28, Secondary 14J27, 14C20 |
| url | https://arxiv.org/abs/2504.00778 |