2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216142Let X be a connected normal complex space of dimension n>=2 which is (n-1)-complete, and let p: M -> X be a resolution of singularities. By use of Takegoshi's generalization of the Grauert-Riemenschneider vanishing theorem, we deduce H^1_{cpt}(M,O)=0, which in turn implies Hartogs' extension theorem on X by the d-bar-technique of Ehrenpreis.9 pagesComplex Variables32F10; 32C20; 32C35A d-bar-theoretical proof of Hartogs' extension theorem on (n-1)-complete spacestext