2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77993We prove a local theorem on simultaneous resolution of singularities, which is valid in all dimensions. This theorem is proven in dimension 2 (and in all characteristics) by Abhyankar in his book "Ramification theoretic methods in algebraic geometry".6 pagesAlgebraic GeometryCommutative Algebra13B15, 14B05text