2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157683We show that a polarised manifold with a constant scalar curvature Kähler metric and discrete automorphisms is K-stable. This refines the K-semistability proved by S. K. Donaldson.14 pagesAlgebraic GeometryDifferential GeometryK-stability of constant scalar curvature Kähler manifoldstext