| On Hilbert Coefficients of Filtrations |
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| 引用本文： | Yan GU,Guangjun ZHU,Zhongming TANG. On Hilbert Coefficients of Filtrations[J]. 数学年刊B辑(英文版), 2007, 28(5): 543-554. DOI: 10.1007/s11401-006-0092-9 |
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| 作者姓名： | Yan GU Guangjun ZHU Zhongming TANG |
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| 作者单位： | Yan GU Guangjun ZHU Zhongming TANG Department of Mathematics，Suzhou University，Suzhou 215006，Jiangsu，China |
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| 摘 要： | Let F be a Hilbert filtration with respect to a Cohen-Macaulay module M. When G(F,M)and F_K(F,M)have almost maximal depths,the Hilbert coefficients g_i(F,M)is calculated.In the general case,an upper bound for g_2(F,M)is also given.
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| 关 键 词： | 系数 过滤 纤维 数学 |
| 收稿时间： | 2006-03-13 |
On Hilbert Coefficients of Filtrations |
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| Yan GU,Guangjun ZHU and Zhongming TANG. On Hilbert Coefficients of Filtrations[J]. Chinese Annals of Mathematics,Series B, 2007, 28(5): 543-554. DOI: 10.1007/s11401-006-0092-9 |
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| Authors: | Yan GU Guangjun ZHU Zhongming TANG |
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| Affiliation: | Department of Mathematics, Suzhou University, Suzhou 215006, Jiangsu, China |
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| Abstract: | Let F be a Hilbert filtration with respect to a Cohen-Macaulay module M. When G(F,M)and F_K(F,M)have almost maximal depths,the Hilbert coefficients g_i(F,M)is calculated.In the general case,an upper bound for g_2(F,M)is also given. |
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| Keywords: | Hilbert coefficients Fiber cones Depth |
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