On the Euler-Poincar\'e characteristic and mixed multiplicities of maximal degrees
Commutative Algebra
2019-12-13 v4
Abstract
This paper defines the Euler-Poincar\'{e} characteristic of joint reductions of ideals which concerns the maximal terms in the Hilbert polynomial; characterizes the positivity of mixed multiplicities in terms of minimal joint reductions; proves the additivity and other elementary properties for mixed multiplicities. The results of the paper together with the results of [17] seem to show a natural and nice picture of mixed multiplicities of maximal degrees.
Keywords
Cite
@article{arxiv.1803.09201,
title = {On the Euler-Poincar\'e characteristic and mixed multiplicities of maximal degrees},
author = {Truong Thi Hong Thanh and Duong Quoc Viet},
journal= {arXiv preprint arXiv:1803.09201},
year = {2019}
}
Comments
22 pages