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arXiv · 2512.14634

Cylinders in del Pezzo surfaces with du Val singularities

Grigory Belousov·Nivedita Viswanathan
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Abstract

We consider del Pezzo surfaces $X$ with du Val singularities. Assume that $X$ has a $-K_X$-polar cylinder and $\deg X=1$. Let $H$ be an ample divisor. We'll prove that $X$ has a $H$-polar cylinder.

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Grigory Belousov, Nivedita Viswanathan. 2025-12-16. Cylinders in del Pezzo surfaces with du Val singularities. https://arxiv.org/abs/2512.14634

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