Daniel Daigle: Gizatullin curves

Abstract:  Let X be a weighted projective plane.  By a "Gizatullin
curve" of X we mean an irreducible rational curve C on X whose
complement X-C is completable by a zig-zag.  We give several
characterizations of Gizatullin curves of X, we classify these curves
up to automorphism of X, and we deduce consequences for locally
nilpotent derivations of k[X,Y,Z].