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Polarized cylinders in Du Val del Pezzo surfaces of degree two (2412.09848v2)

Published 13 Dec 2024 in math.AG

Abstract: 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 $S$.

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