2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145644We prove existence and nonexistence results for certain differential forms in positive characteristic, called {\em good deformation data}. Some of these results are obtained by reduction modulo $p$ of Belyi maps. As an application, we solve the local lifting problem for groups with Sylow $p$-subgroup of order $p$.Number TheoryAlgebraic Geometry11G20; 14D15Deformation data, Belyi maps, and the local lifting problemtext