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arXiv · 1803.09201

On the Euler-Poincar\'e characteristic and mixed multiplicities of maximal degrees

Truong Thi Hong Thanh·Duong Quoc Viet
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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.

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Truong Thi Hong Thanh, Duong Quoc Viet. 2018-03-25. On the Euler-Poincar\'e characteristic and mixed multiplicities of maximal degrees. https://arxiv.org/abs/1803.09201

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