论文标题
理想的分级家庭的混合多重性
Mixed multiplicities of graded families of ideals
论文作者
论文摘要
我们显示了在轻度假设下的任意分级家庭的混合多重性（并定义）。特别是，我们的方法和结果对任意$ \ mathfrak {m} $ - 主要分级家庭有效。此外，我们为理想的分级家族的混合多重性提供了深远的“体积=多样性公式”。
We show the existence (and define) the mixed multiplicities of arbitrary graded families of ideals under mild assumptions. In particular, our methods and results are valid for the case of arbitrary $\mathfrak{m}$-primary graded families. Furthermore, we provide a far-reaching "Volume = Multiplicity formula" for the mixed multiplicities of graded families of ideals.
