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- W1503810122 abstract "Quasi-homogeneous surfaces, or Gizatullin surfaces, are normal affine surfaces such that there exists an open orbit of the automorphism group with a finite complement. If the action of the automorphism group is transitive, the surface is called homogeneous. Examples of non-homogeneous Gizatullin surfaces were constructed in [Ko], but on more restricted conditions. We show that a similar result holds under less constrained assumptions. Moreover, we exhibit examples of smooth affine surfaces with a non-transitive action of the automorphism group whereas the automorphism group is huge. This means that it is not generated by a countable set of algebraic subgroups and that its quotient by the (normal) subgroup generated by all algebraic subgroups contains a free group over an uncountable set of generators." @default.
- W1503810122 created "2016-06-24" @default.
- W1503810122 creator A5073316304 @default.
- W1503810122 date "2013-11-15" @default.
- W1503810122 modified "2023-09-27" @default.
- W1503810122 title "Smooth Non-Homogeneous Gizatullin Surfaces" @default.
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