2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61115In this paper we prove the existence of families of n-dimensional complete embedded minimal submanifolds of C^n with a prescribed configuration of k>1 asymptotic planes. These submanifolds are obtained by desingularizing the intersection of the asymptotes, using a gluing theorem applied to a generalization of a special lagrangian "hyperbola" found by Lawlor.37 pagDifferential GeometryAnalysis of PDEsDifferential Geometry; Analysis of PDEsComplete embedded minimal n-submanifolds in C^ntext