2014/11/24 by Leuenberger, Matthias
#14R25 #32M25 #37F75 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.1411.6493
We give the classification of all complete algebraic vector fields on Danielewski surfaces (smooth surfaces given by xy=p(z)). We use the fact that for each such vector field there exists a certain fibration that is preserved under its flow. In order to get the explicit list of vector fields a classification of regular function with general fiber ℂ or ℂ^* is required. In this text we present results about such fibrations on Gizatullin surfaces and we give a precise description of these fibrations for Danielewski surfaces.