Departmental Bulletin Paper THE EULER-POINCARÉ CHARACTERISTIC AND MIXED MULTIPLICITIES

Viet, Duong Quoc  ,  Thanh, Truong Thi Hong

69 ( 2 )  , pp.393 - 411 , 2015-10-13 , Faculty of Mathematics, Kyushu University
ISSN:1340-6116
NCID:AA10994346
Description
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.

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