Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero

In-Kyun Kim; Dae-Won Lee; Masatomo Sawahara

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arXiv · 2512.20134

Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero

In-Kyun Kim·Dae-Won Lee·Masatomo Sawahara

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Abstract

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.

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BibTeX RIS

In-Kyun Kim, Dae-Won Lee, Masatomo Sawahara. 2025-12-23. Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero. https://arxiv.org/abs/2512.20134

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