2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66764Suppose given an Hamiltonian action of a compact semisimple Lie group on a polarized complex projective manifold $(M,L)$. We study by means of microlocal techniques the local and global asymptotic behaviour of linear series on $M$ defined in terms of the action and the irreducible representations of $G$.improvements in results and exposition, references addedSymplectic GeometryAlgebraic Geometrytext