Reductive group actions on K\"ahler manifolds
alg-geom
2008-02-03 v2 Algebraic Geometry
Abstract
We prove that the action of a reductive complex Lie group on a K\"ahler 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 K\"ahler form.
Cite
@article{arxiv.alg-geom/9210006,
title = {Reductive group actions on K\"ahler manifolds},
author = {Eugene Lerman and Reyer Sjamaar},
journal= {arXiv preprint arXiv:alg-geom/9210006},
year = {2008}
}
Comments
8 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.)