2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116488The paper introduces a number of new techniques to handle minimal hyersurface singularities. In particular, they allow to extend the obstruction theory for postive scalr curvature to any dimension.The original version contained a number of illustrations which where to large for submission, but can be sent on requestDifferential GeometryAnalysis of PDEs53C21text