A note on formulas transmuting mixed multiplicities

Việt, Duong Quôc; Thanh, Truong Thi Hong

doi:10.1515/forum-2011-0147

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Cited by 4 publications

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“…Moreover, by using filterregular sequences, Manh and Viet [29] in 2013 characterized mixed multiplicities of multigraded modules in terms of the length of modules. In past years, the theory of mixed multiplicities has attracted much attention and has been continually developed (see, for example, [4,5,[11][12][13][14][15][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]). …”

Section: Introductionmentioning

confidence: 99%

The Euler-Poincaré Characteristic and Mixed Multiplicities

Việt¹,

Thanh²

2015

Kyushu J. Math.

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Abstract. 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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