An upper bound on the second fiber coefficient of the fiber cones

Abstract

Let (R, m) be a Cohen-Macaulay local ring of dimension d > 0, I an m-primary ideal of R and K an ideal containing I. When depth G(I) ≥ d− 1 and r(I|K) < ∞, we present an upper bound on the second fiber coefficient f2(I, K) of the fiber cones FK(I), and also provide a characterization, in terms of f2(I, K), of the condition depth FK(I) ≥ d− 2. 

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Cite this paper

@inproceedings{Zhu2011AnUB, title={An upper bound on the second fiber coefficient of the fiber cones}, author={Guangjun Zhu}, year={2011} }