2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210694The symplectic implosion construction of Guillemin, Jeffrey and Sjamaar associates to a Hamiltonian action of a compact group K on a symplectic manifold X its 'imploded cross section'. When X is a complex projective variety and K acts linearly on X, this construction is closely related to geometric invariant theory (GIT) for the action on X of a maximal unipotent subgroup U of the complexification G of K. The aim of this paper is to generalise symplectic implosion to give a symplectic construction for GIT-like quotients by unipotent radicals U of arbitrary parabolic subgroups P of the complex reductive group G acting linearly on the projective variety X.For the proceedings of the 65th birthday conference for Hans Duistermaat, Utrecht 2007Algebraic GeometrySymplectic Geometry14L24; 53D20text