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arxiv: math/0206304 · v2 · submitted 2002-06-28 · 🧮 math.AC

Hilbert coefficients and depth of fiber cones

classification 🧮 math.AC
keywords fibercohen-macaulayconescoefficientsdepthhilbertcertainconcerning
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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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