2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164697We present an example showing that a family of Riemann surfaces obtained by a general plumbing construction does not necessarily give local coordinates on the Teichmueller space.5 pages, Title and presentation slightly changed. The final version accepted to Israel J. MathComplex VariablesAlgebraic Geometry32G15; 30F60; 14H15; 14D15text