Descent from the form ring and Buchsbaum rings

Mathematics – Commutative Algebra

Scientific paper

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To appear in Comm. Algebra Latex2e

Scientific paper

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.

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