2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166849A local uniqueness property of holomorphic functions on real-analytic nowhere minimal CR submanifolds of higher codimension is investigated. A sufficient condition called almost minimality is given and studied. A weaker necessary condition, being contained a possibly singular real-analytic Levi-flat hypersurface is studied and characterized. This question is completely resolved for algebraic submanifolds of codimension 2 and a sufficient condition for noncontainment is given for non algebraic submanifolds. As a consequence, an example of a submanifold of codimension 2, not biholomorphically equivalent to an algebraic one, is given. We also investigate the structure of singularities of Levi-flat hypersurfaces.21 pages; conjecture 2.8 was removed in proof; to appear in J. Geom. AnalComplex VariablesDifferential Geometry32V40 (Primary), 32C07text