Hilbert coefficients and depth of fiber cones

A. V. Jayanthan; J. K. Verma

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arXiv · math/0206304

Hilbert coefficients and depth of fiber cones

A. V. Jayanthan·J. K. Verma

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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.

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A. V. Jayanthan, J. K. Verma. 2003-10-10. Hilbert coefficients and depth of fiber cones. https://arxiv.org/abs/math/0206304

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