Hilbert coefficients and depth of fiber cones

Details Hilbert coefficients and depth of fiber cones Hilbert coefficients and depth of fiber cones

2002-06-28

arxiv.org/abs/math/0206304v2

Mathematics

Commutative Algebra

17 pages. Revised version, to appear in J. Pure Appl. Algebra

Scientific paper

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.

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