2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74943In this paper, we give the rigidity theorem for a log morphism as an extension of a fixed scheme morphism. We also give several applications of the rigidity theorem.61 pages, verson 1.01, collect few mistakesAlgebraic Geometry14A15,14A10text