2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132221We show that the pseudoconcave holes of some naturally arising class of manifolds, called hyperconcave ends, can be filled in, including the case of complex dimension 2 . As a consequence we obtain a stronger version of the compactification theorem of Siu-Yau and extend Nadel's theorems to dimension 2.13 pages, AMSLaTeX, short version accepted for publication in Inventiones MathComplex VariablesDifferential Geometry32J05 (Primary), 32C22, 53C55 (Secondary)text