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- W1981018910 abstract "Let ( A , m ) be Cohen-Macaulay local ring with maximal ideal m and dimension d . It is well known that for n > 0, the length of the A -module A / m n is given by i A A m n =e o ntd−1 d −e 1 n+d−2 d−1 +⋯+(−1) d e d . The integers paper an e i are called the Hilbert coefficients of A . In this paper an upper bound is given for e 2 in terms of e 0 , e 1 and the embedded codimension h of A . If d ≤ 2 and the bound is reached, A has a specified Hilbert function. Similarly, in the one-dimensional case, we study the extremal behaviour with respect to the known inequality e 1 ≤ e 2 − h 2 ." @default.
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- W1981018910 date "1996-04-01" @default.
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- W1981018910 title "On the coefficients of the Hilbert polynomial" @default.
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- W1981018910 doi "https://doi.org/10.1016/0022-4049(95)00036-4" @default.
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