2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146229We provide the main results of a deformation theory of smooth formal schemes. First we deal with the case of global lifting of smooth morphisms. We prove that the obstruction to the existence of a global lifting lies in a Ext^1 group. Then we study uniqueness and existence of lifting of smooth formal schemes. The set of isomorphism classes of smooth liftings is classified by a Ext^1 group and there exists an obstruction in a Ext^2 group whose vanishing characterizes the existence of smooth liftings.14 pagesAlgebraic Geometry14B10 (Primary); 14A15, 14B20, 14B25, 14F10 (Secondary)text