Cylinders in del Pezzo surfaces with du Val singularities

Grigory Belousov, Nivedita Viswanathan

We consider del Pezzo surfaces $X$ with du Val singularities. Assume that $X$ has a $-K_X$-polar cylinder and $°X=1$. Let $H$ be an ample divisor. We'll prove that $X$ has a $H$-po…