2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65948We study equivariant deformations of singular curves with an action of a finite flat group scheme, using a simplified version of Illusie's equivariant cotangent complex. We apply these methods in a special case which is relevant for the study of the stable reduction of three point covers.44 pages, revised versionAlgebraic GeometryNumber Theory14H30; 11G20text