2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69156We give the characterization of Arnol'd-Mather type for stable singular Legendre immersions. The most important building block of the theory is providing a module structure on the space of infinitesimal integral deformations by means of the notion of natural liftings of differential systems and of contact Hamiltonian vector fields.46 pages, 1 figureDifferential GeometrySymplectic Geometry58K25; 53Dxxtext