Nonlinearizable embeddings of elliptic curves in rational surfaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914532365959168 |
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| author | Filip, Simion Tosatti, Valentino |
| author_facet | Filip, Simion Tosatti, Valentino |
| contents | We show that for any smooth cubic in $\mathbb{P}^2$, there exists a dense $G_δ$ set of configurations of 9 distinct points such that blowing up $\mathbb{P}^2$ at these 9 points, the strict transform of the cubic is not linearizable and has nontorsion normal bundle. This answers a problem raised by Ogus in 1975. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_04160 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Nonlinearizable embeddings of elliptic curves in rational surfaces Filip, Simion Tosatti, Valentino Dynamical Systems Algebraic Geometry Complex Variables 37F50, 14E25, 14H52, 32C22 We show that for any smooth cubic in $\mathbb{P}^2$, there exists a dense $G_δ$ set of configurations of 9 distinct points such that blowing up $\mathbb{P}^2$ at these 9 points, the strict transform of the cubic is not linearizable and has nontorsion normal bundle. This answers a problem raised by Ogus in 1975. |
| title | Nonlinearizable embeddings of elliptic curves in rational surfaces |
| topic | Dynamical Systems Algebraic Geometry Complex Variables 37F50, 14E25, 14H52, 32C22 |
| url | https://arxiv.org/abs/2605.04160 |