2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150153There is a spectral sequence technique in order to estimate the local cohomology of a ring by the local cohomology of a certain form ring. As applications there are information on the descent of homological properties (Cohen-Macaulay, Buchsbaum etc.) from the form ring to the ring itself. In the case of Buchsbaum ring there is a discussion of the descent of the surjectivity of a natural map into the local cohomology.To appear in Comm. Algebra Latex2eAlgebraic GeometryCommutative Algebra13A30 (Primary) 14B15, 13H10 (Secondary)text