# CYLINDERS IN DEL PEZZO SURFACES WITH DU VAL SINGULARITIES

• Accepted : 2016.12.26
• Published : 2017.09.30

#### 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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