This paper interprets mixed multiplicities of good filtrations as Hilbert-Samuel multiplicities, and shows that （ε1,..., εm）-superficial sequences in [16] （2007） and superficial sequences in [15] （1973） are we...This paper interprets mixed multiplicities of good filtrations as Hilbert-Samuel multiplicities, and shows that （ε1,..., εm）-superficial sequences in [16] （2007） and superficial sequences in [15] （1973） are weak-（FC）-sequences in [19] （2000）. As consequences, we not only obtain generalized results for mixed multiplicities of ideals in [15, 16, 19] but also get an improvement of [19, Theorem 3.4] that seems to account well for the essence of [16, Theorem 1.4].展开更多
文摘This paper interprets mixed multiplicities of good filtrations as Hilbert-Samuel multiplicities, and shows that （ε1,..., εm）-superficial sequences in [16] （2007） and superficial sequences in [15] （1973） are weak-（FC）-sequences in [19] （2000）. As consequences, we not only obtain generalized results for mixed multiplicities of ideals in [15, 16, 19] but also get an improvement of [19, Theorem 3.4] that seems to account well for the essence of [16, Theorem 1.4].
