2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216983We prove that good quotients of algebraic varieties with 1-rational singularities also have 1-rational singularities. This refines a result of Boutot on rational singularities of good quotients.8 pages; revised version of a chapter of the author's thesisAlgebraic GeometryRepresentation Theory14L30, 14L24, 14B051-rational singularities and quotients by reductive groupstext