Hilbert coefficients and depth of fiber cones
Abstract
Description
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.
17 pages. Revised version, to appear in J. Pure Appl. Algebra
17 pages. Revised version, to appear in J. Pure Appl. Algebra