Lines on K3-quartics via triangular sets
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866909611431297024 |
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| author | Degtyarev, Alex Rams, Sławomir |
| author_facet | Degtyarev, Alex Rams, Sławomir |
| contents | We prove the sharp upper bound of at most $52$ lines on a complex K3-surface of degree four with a non-empty singular locus. We also classify the configurations of more than $48$ lines on smooth complex quartics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_04127 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Lines on K3-quartics via triangular sets Degtyarev, Alex Rams, Sławomir Algebraic Geometry Primary: 14J28, Secondary: 14J27, 14N25 We prove the sharp upper bound of at most $52$ lines on a complex K3-surface of degree four with a non-empty singular locus. We also classify the configurations of more than $48$ lines on smooth complex quartics. |
| title | Lines on K3-quartics via triangular sets |
| topic | Algebraic Geometry Primary: 14J28, Secondary: 14J27, 14N25 |
| url | https://arxiv.org/abs/2301.04127 |