关于最大次数的Euler-Poincaré特征和混合重数
On the Euler-Poincaré characteristic and mixed multiplicities of maximal degrees
摘要：
本文定义了理想联合约化的Euler-Poincaré特征，它涉及到Hilbert多项式中的极大项，用最小联合约化刻画了混合重数的正性，证明了混合重数的可加性及其它一些基本性质.本文的结果与[17]的结果一起似乎显示了最大次数的混合多重性的自然而美好的画面。
英文摘要：
This paper defines the Euler-Poincaré 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
