||THE EULER-POINCARÉ CHARACTERISTIC AND MIXED MULTIPLICITIES
Viet, Duong QuocThanh, Truong Thi Hong
Kyushu Journal of Mathematics
411 , 2015-10-13 , Faculty of Mathematics, Kyushu University
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 the 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.