Conics in sextic $K3$-surfaces in $\mathbb{P}^4$
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arXiv
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866916143953870848 |
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| author | Degtyarev, Alex |
| author_facet | Degtyarev, Alex |
| contents | We prove that the maximal number of conics in a smooth sextic $K3$-surface $X\subset\mathbb{P}^4$ is 285, whereas the maximal number of real conics in a real sextic is 261. In both extremal configurations, all conics are irreducible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_07412 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Conics in sextic $K3$-surfaces in $\mathbb{P}^4$ Degtyarev, Alex Algebraic Geometry 14J28, 14H50, 14N20, 14N25 We prove that the maximal number of conics in a smooth sextic $K3$-surface $X\subset\mathbb{P}^4$ is 285, whereas the maximal number of real conics in a real sextic is 261. In both extremal configurations, all conics are irreducible. |
| title | Conics in sextic $K3$-surfaces in $\mathbb{P}^4$ |
| topic | Algebraic Geometry 14J28, 14H50, 14N20, 14N25 |
| url | https://arxiv.org/abs/2010.07412 |