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Cartan decomposition of the moment map
P. Heinzner, G. W. Schwarz
We investigate a class of actions of real Lie groups on complex spaces. Using moment map techniques we establish the existence of a quotient and a version of Luna's slice theorem a…
Spherical Stein spaces
D. Akhiezer, P. Heinzner
Let X be an irreducible reduced complex space on which a connected compact Lie group K acts by holomorphic automorphisms. Let G be the complexification of K and g the Lie algebra o…
The extended future tube conjecture for SO(1,n)
Peter Heinzner, Patrick Schuetzdeller
Let C be the open upper light cone in with respect to the Lorentz product. The connected linear Lorentz group SO acts on C and therefore diagon…
Actions of compact groups on coherent sheaves
J. Hausen, P. Heinzner
Let K be a compact Lie group and G its complexification. For a not necessarily reduced Stein K-space X we show that there is a complex space Z endowed with a holomorphic action of…