2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/33380We present a simple proof of a precise version of the localization theorem in equivariant cohomology. As an application, we describe the cohomology algebra of any compact symplectic variety with a multiplicity-free action of a compact Lie group. This applies in particular to smooth, projective spherical varieties.8 pages, Latex2e, uses epsfigDifferential Geometrytext