  There 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.
