Split hyperplane sections on smooth polarized $K3$-surfaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912614778404864 |
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| author | Degtyarev, Alex |
| author_facet | Degtyarev, Alex |
| contents | We study hyperplane sections of smooth polarized $K3$-surfaces that split into unions of lines. We describe the dual adjacency graphs of such sections and find sharp upper bounds on their number. In most cases (starting from degree $6$), we also compute all configurations of such sections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24349 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Split hyperplane sections on smooth polarized $K3$-surfaces Degtyarev, Alex Algebraic Geometry 14J28 (Primary) 14N25 (Secondary) We study hyperplane sections of smooth polarized $K3$-surfaces that split into unions of lines. We describe the dual adjacency graphs of such sections and find sharp upper bounds on their number. In most cases (starting from degree $6$), we also compute all configurations of such sections. |
| title | Split hyperplane sections on smooth polarized $K3$-surfaces |
| topic | Algebraic Geometry 14J28 (Primary) 14N25 (Secondary) |
| url | https://arxiv.org/abs/2509.24349 |