Reductive group actions on Kähler manifolds

Abstract

We prove that the action of a reductive complex Lie group on a Kähler manifold can be linearized in the neighbourhood of a fixed point, provided that the restriction of the action to some compact real form of the group is Hamiltonian with respect to the Kähler form.

arXiv comment8 pages, AMS-LaTeX, version 1.1. (Reason for resubmission: have inserted bibliography file into body of tex file, so don't need to run bib.tex.)