Hilbert Coefficients and Depth of the Associated Graded Ring of an Ideal
Commutative Algebra
2008-02-01 v1 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.0801.4866,
title = {Hilbert Coefficients and Depth of the Associated Graded Ring of an Ideal},
author = {J. K. Verma},
journal= {arXiv preprint arXiv:0801.4866},
year = {2008}
}
Comments
24 pages, expository paper to appear in Mathematics Student