2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77340This is an updated and extended version of ANT-0024. We prove more special cases of the Fontaine-Mazur conjecture regarding p-adic Galois representations unramified at p, and we present evidence for and consequences of a generalization of it.Number TheorySome cases of the Fontaine-Mazur conjecture, IItext