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Cylinders in del Pezzo Surfaces

Cylinders in del Pezzo Surfaces

On del Pezzo surfaces, we study effective ample |$\mathbb{R}$|-divisors such that the complements of their supports are isomorphic to |$\mathbb{A}^1$|-bundles over smooth affine curves. All considered varieties are assumed to be algebraic and defined over an algebraically closed field of characteristic |$0$| throughout this article.