Ga -ACTIONS ON THE COMPLEMENTS OF HYPERSURFACES

Abstract

© 2020, Springer Science+Business Media, LLC, part of Springer Nature. Let S be a del Pezzo surface with at worst Du Val singularities such that it is a hypersurface in a weighted projective space ℙ. We prove that the surface S contains a (−KS)-polar cylinder if and only if the automorphism group of the affine variety ℙ \ S contains a unipotent subgroup