2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59464In this article, we consider metrically thin singularities E of the solutions of the tangential Cauchy-Riemann operators on a C^{2,a}-smooth embedded Cauchy-Riemann generic manifold M (CR functions on M - E) and more generally, we consider holomorphic functions defined in wedgelike domains attached to M - E. Our main result establishes the wedge- and the L^1-removability of E under the hypothesis that the (\dim M-2)-dimensional Hausdorff volume of E is zero and that M and M\backslash E are globally minimal. As an application, we deduce that there exists a wedgelike domain attached to an everywhere locally minimal M to which every CR-meromorphic function on M extends meromorphically.23 pages, 5 figures, deformations of global analytic discsComplex VariablesPrimary: 32D20. Secondary: 32A20, 32D10, 32V10, 32V25, 32V35Wedge extendability of CR-meromorphic functions: the minimal casetext