Fiber Coefficients and Depth of Fiber Cones |
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| Authors: | Guangjun Zhu |
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| Affiliation: | 1. School of Mathematics Science , Soochow University , Suzhou, P.R. China zhuguangjun@suda.edu.cn |
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| 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 r(I | K)<∞, we give a lower bound and an upper bound for f 1(I). Under the above assumption on r(I | K) and depth G(I) ≥ d ? 1, we also provide a characterization, in terms of f 1(I), of the condition depth F K (I) ≥ d ? 1. |
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| Keywords: | Depth Fiber coefficient Fiber cone Joint reduction Reduction of an ideal Rees-superficial sequence |
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