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This paper defines mixed multiplicity systems; the Euler-Poincaré characteristic and the mixed multiplicity symbol of N^d-graded modules with respect to a mixed multiplicity system, and proves that th...e Euler-Poincaré characteristic and the mixed multiplicity symbol of any mixed multiplicity system of the type (k_1,..., k_d) and the (k_1,..., k_d)-difference of the Hilbert polynomial are the same. As an application, we obtain results for mixed multiplicities.続きを見る
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