We describe a classification of Gm-actions on quasi-homogeneous (Gizatullin) surfaces and recent results about A1-fibrations on these surfaces and their algebraic automorphism groups. We present also a classification of generalized quasi-homogeneous surfaces, where a normal complex affine surface V is generalized quasi-homogeneous if the group of holomorphic automorphisms of V acts transitively on the complement to a finite subset in V .
|Original language||English (US)|
|Title of host publication||Contemporary Mathematics|
|Publisher||American Mathematical Society|
|Number of pages||12|
|State||Published - 2019|
- Affine algebraic surface
- Automorphism group
- Open orbit.
ASJC Scopus subject areas