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Complete Algebraic Vector Fields on Affine Surfaces
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