A Lower Bound on the Second Fiber Coefficient of the Fiber Cones |
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| Authors: | Guangjun Zhu Zhongming Tang |
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| Institution: | 1. School of Mathematics Science , Soochow University , Suzhou 215006, P.R. China zhuguangjun@suda.edu.cn;3. School of Mathematics Science , Soochow University , Suzhou 215006, P.R. China |
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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 depth G(I) ≥ d ? 1 and r(I | K) < ∞, we present a lower bound on the second fiber coefficient of the fiber cones, and also provide a characterization, in terms of f 2(I, K), of the condition depth F K (I) ≥ d ? 1. |
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| Keywords: | Depth Fiber coefficient Fiber cone Joint reduction Rees-superficial sequence |
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