Hilbert Coefficients and Depth of the Associated Graded Ring of an Ideal

Details Hilbert Coefficients and Depth of the Associated Graded Ring of an Ideal Hilbert Coefficients and Depth of the Associated Graded Ring of an Ideal

2008-01-31

arxiv.org/abs/0801.4866v1

Mathematics

Commutative Algebra

24 pages, expository paper to appear in Mathematics Student

Scientific paper

In this expository paper we survey results that relate Hilbert coefficients
of an m-primary ideal I in a Cohen-Macaulay local ring (R, m) with depth of the
associated graded ring G(I). Several results in this area follow from two
theorems of S. Huckaba and T. Marley. These were proved using homological
techniques. We provide simple proofs using superficial sequences.

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