Polarized cylinders in Du Val del Pezzo surfaces of degree two

Fuente: arXiv
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Autore principale: Sawahara, Masatomo
Natura: Preprint
Pubblicazione: 2024
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author Sawahara, Masatomo
author_facet Sawahara, Masatomo
contents Let $S$ be a del Pezzo surface with at worst Du Val singularities of degree $2$ such that $S$ admits an $(-K_S)$-polar cylinder. In this article, we construct an $H$-polar cylinder for any ample $\mathbb{Q}$-divisor $H$ on $S$.
format Preprint
id arxiv_https___arxiv_org_abs_2412_09848
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Polarized cylinders in Du Val del Pezzo surfaces of degree two
Sawahara, Masatomo
Algebraic Geometry
14C20, 14E05, 14J17, 14J26, 14J45, 14R25
Let $S$ be a del Pezzo surface with at worst Du Val singularities of degree $2$ such that $S$ admits an $(-K_S)$-polar cylinder. In this article, we construct an $H$-polar cylinder for any ample $\mathbb{Q}$-divisor $H$ on $S$.
title Polarized cylinders in Du Val del Pezzo surfaces of degree two
topic Algebraic Geometry
14C20, 14E05, 14J17, 14J26, 14J45, 14R25
url https://arxiv.org/abs/2412.09848