CYLINDERS IN DEL PEZZO SURFACES WITH DU VAL SINGULARITIES

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.

Keywords

• cylinder;
• del Pezzo surface

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References

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