2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107677In this paper, we study a deformation theory of rigid analytic spaces. We develop a theory of cotangent complexes for rigid geometry which fits in with our deformations. We then use the complexes to give a cohomological description of infinitesimal deformation of rigid analytic spaces. Moreover, we will prove an existence of a formal versal family for a proper rigid analytic space.24 pagesAlgebraic GeometryNumber Theorytext