Bull. Korean Math. Soc. 2017; 54(5): 1655-1667
Online first article July 18, 2017 Printed September 30, 2017
https://doi.org/10.4134/BKMS.b160684
Copyright © The Korean Mathematical Society.
Grigory Belousov
Plekhanov Russian University of Economics
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
MSC numbers: 14E07, 14E25, 14J45
2014; 51(4): 1023-1029
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