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| On Hilbert Coefficients of Filtrations |
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Citation： |
Yan GU,Guangjun ZHU,Zhongming TANG.On Hilbert Coefficients of Filtrations[J].Chinese Annals of Mathematics B,2007,28(5):543~554 |
| Page view： 1102
Net amount： 882 |
Authors： |
Yan GU; Guangjun ZHU;Zhongming TANG |
Foundation： |
the National Natural Science Foundation of China (No. 10371085). |
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| Abstract： |
Let $\mathcal{F}$ be a Hilbert filtration with respect to a Cohen-Macaulay module $M$. When $G(\mathcal{F},M)$ and
$F_K(\mathcal{F},M)$ have almost maximal depths, the Hilbert coefficients\break $g_i(\mathcal{F}, M)$ is calculated. In the
general case, an upper bound for $g_2(\mathcal{F},M)$ is also given. |
Keywords： |
Hilbert coefficients, Fiber cones, Depth |
Classification： |
13D40, 13H15, 13C14 |
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