Hilbert coefficients and depth of fiber cones
Commutative Algebra
2007-05-23 v2
Abstract
Criteria are given in terms of certain Hilbert coefficients for the fiber cone F(I) of an m-primary ideal I in a Cohen-Macaulay local ring (R,m) so that it is Cohen-Macaulay or has depth at least dim(R)-1. A version of Huneke's fundamental lemma is proved for fiber cones. S. Goto's results concerning Cohen-Macaulay fiber cones of ideals with minimal multiplicity are obtained as consequences.
Cite
@article{arxiv.math/0206304,
title = {Hilbert coefficients and depth of fiber cones},
author = {A. V. Jayanthan and J. K. Verma},
journal= {arXiv preprint arXiv:math/0206304},
year = {2007}
}
Comments
17 pages. Revised version, to appear in J. Pure Appl. Algebra