2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141285For pseudoconvex abstract CR manifolds, the validity of the Poincare Lemma for (0,1) forms implies local embeddability in C^N. The two properties are equivalent for hypersurfaces of real dimension > or = 5. As a corollary we obtain a criterion for the non validity of the Poicare Lemma for (0,1) forms for a large class of abstract CR manifolds of CR codimension larger than one.Complex VariablesAnalysis of PDEsAlgebraic Topology32V30; 35N10text