Complete algebraic vector fields on affine surfaces

2014/11/20 by Kaliman, Shulim, Kutzschebauch, Frank, Leuenberger, Matthias · 1 citation
#14R20 #32M17 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1411.5484

Abstract

Let \AAutH (X) be the subgroup of the group \AutH (X) of holomorphic automorphisms of a normal affine algebraic surface X generated by elements of flows associated with complete algebraic vector fields. Our main result is a classification of all normal affine algebraic surfaces X quasi-homogeneous under \AAutH (X) in terms of the dual graphs of the boundaries \bX ∖ X of their SNC-completions \bX.

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