Let F be a Hilbert filtration with respect to a Cohen-Macaulay module M. When G(F, M) and FK(F,M) have almost maximal depths, the Hilbert coefficients gi(F, M) is calculated. In the general case, an upper bound ...Let F be a Hilbert filtration with respect to a Cohen-Macaulay module M. When G(F, M) and FK(F,M) have almost maximal depths, the Hilbert coefficients gi(F, M) is calculated. In the general case, an upper bound for g2(F, M) is also given.展开更多
基金the National Natural-Science Foundation of China(No.10371085).
文摘Let F be a Hilbert filtration with respect to a Cohen-Macaulay module M. When G(F, M) and FK(F,M) have almost maximal depths, the Hilbert coefficients gi(F, M) is calculated. In the general case, an upper bound for g2(F, M) is also given.