Complete Algebraic Vector Fields on Affine Surfaces

Shulim Kaliman, Frank Kutzschebauch, Matthias Leuenberger
2019 International Journal of Mathematics  
Let AAut hol (X) be the subgroup of the group Aut hol (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 AAut hol (X) in terms of the dual graphs of the boundariesX \ X of their SNC-completionsX. 2000 Mathematics Subject Classification: 14R20, 32M17.
doi:10.1142/s0129167x20500184 fatcat:bbudnpgp6fgfbk32mvdsuq42eu