2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64423Criteria 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. AlgebraCommutative Algebra13H10; 13H15Hilbert coefficients and depth of fiber conestext