2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147051We 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.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.)Algebraic Geometrytext