2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219125We extend our previous theory of etale parallel transport to a larger class of slope zero vector bundles on p-adic curves. The new class is stable under pullback by ramified coverings. We also construct p-adic representations of a central extension of the fundamental group for certain bundles of non-zero slope.Algebraic GeometryNumber Theory14H60; 14H30; 11G20text