Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2018; 55(3): 605-622

Online first article December 6, 2017      Printed May 1, 2018

https://doi.org/10.4134/JKMS.j170347

Copyright © The Korean Mathematical Society.

Mixed multiplicities of maximal degrees

Truong Thi Hong Thanh, Duong Quoc Viet

Hanoi National University of Education, Hanoi National University of Education

Abstract

The original mixed multiplicity theory considered the class of mixed multiplicities concerning the terms of highest total degree in the Hilbert polynomial. This paper defines a broader class of mixed multiplicities that concern the maximal terms in this polynomial, and gives many results, which are not only general but also more natural than many results in the original mixed multiplicity theory.

Keywords: mixed multiplicity, Euler-Poincare characteristic, Koszul complex

MSC numbers: Primary 13H15; Secondary 13A02, 13E05, 13E10, 14C17

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