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arXiv · 1810.06127

Cylinders in del Pezzo surfaces with du Val singularities

Grigory Belousov
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Abstract

We consider del Pezzo surfaces with du Val singularities. We'll prove that a del Pezzo surface $X$ with du Val singularities has a $-K_X$-polar cylinder if and only if there exist tiger such that the support of this tiger does not contain anti-canonical divisor. Also we classify all del Pezzo surfaces $X$ such that $X$ has not any cylinders.

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Grigory Belousov. 2018-10-14. Cylinders in del Pezzo surfaces with du Val singularities. https://arxiv.org/abs/1810.06127

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