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Regular version of the site

Article

Cylinders in singular del Pezzo surfaces

Compositio Mathematica. 2016. Vol. 152. P. 1198-1224.
Cheltsov I., Park J., Won J.

For each del Pezzo surface S with du Val singularities, we determine whether it admits a (−K S )-polar cylinder or not. If it allows one, then we present an effective Q-divisor D that is Q-linearly equivalent to −K S and such that the open set S\Supp(D) is a cylinder. As a corollary, we classify all the del Pezzo surfaces with du Val singularities that admit non-trivial G a -actions on their affine cones defined by their anticanonical divisors.