Rafael B. Andrist: The density property for Gizatullin surfaces
Title: The density property for Gizatullin surfaces.
Abstract: The density property is a way to express that a Stein manifold has a huge group of holomorphic automorphisms; in particular, the automorphisms act transitively in this case. A normal complex-affine algebraic surface such that its group of algebraic automorphisms acts quasi-transitive, is called a Gizatullin surface. Hence, Gizatullin surfaces are natural candidates to consider when looking for complex surfaces with the density property. I will show that a large subclass of smooth Gizatullin surfaces enjoys the density property, leaving the question open only for some pathological cases.
Seminar bo v predavalnici 3.06 na Jadranski 21. Vljudno vabljeni!
Vodji seminarja
Josip Globevnik in Franc Forstnerič