Invariant Analytic Hypersurfaces.
Invariant complex structures on reductive Lie groups.
Invariant domains in complex symmetric spaces.
Invariant Forms on Complex Manifolds with Application to Holomorphic Mappings.
Invariant hyperbolic Stein domains.
Invariant Meromorphic Functions on Complex Semisimple Lie Groups.
Invariant meromorphic functions on Stein spaces
In this paper we develop fundamental tools and methods to study meromorphic functions in an equivariant setup. As our main result we construct quotients of Rosenlicht-type for Stein spaces acted upon holomorphically by complex-reductive Lie groups and their algebraic subgroups. In particular, we show that in this setup invariant meromorphic functions separate orbits in general position. Applications to almost homogeneous spaces and principal orbit types are given. Furthermore, we use the main result...
Invariant Plurisubharmonic Functions and Hypersurfaces on Semisimple Complex Lie Groups.
Invariante Differentiale bei der Operation einer endlichen zyklischen Gruppe.
Invariante holomorphe Funktionen auf reduktiven Liegruppen.