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Cylinders in del Pezzo surfaces with du Val singularities (1810.06127v1)
Published 14 Oct 2018 in math.AG
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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