# Veranstaltungsarchiv

18.11.2011 10:30 Alter: 2 yrs

## Seminar Algebra & Geometry: Rafael Andrist

Kategorie: Algebra and Geometry

### Rafael Andrist, Universität Wuppertal

Holomorphic automorphisms of Danielewski surfaces

A Danielewski surface is given as the hypersurface \$x y = f(z)\$ in \$\mathbb{C}^3\$, where \$f\$ is a polynomial with only simple zeroes. Such a surface enjoys the Density Property, i.e. the Lie algebra generated by the complete holomorphic vector fields is dense in the Lie algebra of all holomorphic vector fields.

In case of a Danielewski surface the so-called overshear group is dense in the group of holomorphic automorphisms. We describe the group structure of the overshear group with the help of Nevanlinna theory.