2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/168048Let X be a complex manifold of dimension 2, which admits a strictly plurisubharmonic function r which is proper as a function with values in the intervall ]inf r, sup r[. We prove that the concave end of X can be compactified, if and only if, the first cohomology of X is Hausdorff.8 pagesComplex VariablesAlgebraic Geometry30F10text