Filter-regular Sequences and Mixed Multiplicities
نویسنده
چکیده
Let S be a finitely generated standard multigraded algebra over an Artinian local ring A; M a finitely generated multigraded S-module. This paper answers to the question when mixed multiplicities of M are positive and characterizes them in terms of lengths of A-modules. As an application, we get interesting results on mixed multiplicities of ideals, and recover some early results in [Te] and [TV].
منابع مشابه
Multi-graded Hilbert functions, mixed multiplicities
Multiplicities of ideals are useful invariants, which in good rings determine the ideal up to integral closure. Mixed multiplicities are a collection of invariants of several ideals, generalizing multiplicities, and capturing some information on the interactions among ideals. Teissier and Risler [Tei73] were the first to develop mixed multiplicities, in connection with Milnor numbers of isolate...
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