Uniform bounds in generalized Cohen-Macaulay rings

Details Uniform bounds in generalized Cohen-Macaulay rings Uniform bounds in generalized Cohen-Macaulay rings

2006-06-26

arxiv.org/abs/math/0606639v1

Mathematics

Commutative Algebra

12 pages

Scientific paper

We establish a uniform bound for the Castelnuovo-Mumford regularity of
associated graded rings of parameter ideals in a generalized Cohen-Macaulay
ring. As consequences, we obtain uniform bounds for the relation type and the
postulation number. Moreover, we show that generalized Cohen-Macaulay rings can
be characterized by the existence of such uniform bounds.

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