Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911735402725376 |
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| author | Kim, In-Kyun Lee, Dae-Won Sawahara, Masatomo |
| author_facet | Kim, In-Kyun Lee, Dae-Won Sawahara, Masatomo |
| contents | In this paper, we study the cylindricity of $\Bbbk$-forms of singular del Pezzo surfaces obtained by blowing up weighted projective planes $\mathbb{P}(1,1,m)$ over an arbitrary field $\Bbbk$ of characteristic zero. As an application, we obtain vertical cylinders on higher-dimensional fibrations whose generic fibers are such $\Bbbk$-forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20134 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero Kim, In-Kyun Lee, Dae-Won Sawahara, Masatomo Algebraic Geometry In this paper, we study the cylindricity of $\Bbbk$-forms of singular del Pezzo surfaces obtained by blowing up weighted projective planes $\mathbb{P}(1,1,m)$ over an arbitrary field $\Bbbk$ of characteristic zero. As an application, we obtain vertical cylinders on higher-dimensional fibrations whose generic fibers are such $\Bbbk$-forms. |
| title | Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2512.20134 |