Sequentially Cohen-Macaulay modules and local cohomology

Details Sequentially Cohen-Macaulay modules and local cohomology Sequentially Cohen-Macaulay modules and local cohomology

2001-01-10

arxiv.org/abs/math/0101082v1

Mathematics

Commutative Algebra

10 pages

Scientific paper

The main result of the paper states that for a graded ideal I in a polynomial
ring R over a field of characteristic 0, the Hilbert functions of the local
cohomology modules of R/I and of R/Gin(I) coincide if and only if R/I is
sequentially Cohen-Macaulay.

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