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Mixed multiplicities of ltrations

December 7, 2018 @ 11:00 am - 12:00 pm

We dene and explore properties of mixed multiplicities of (not necessarily Noetherian) ltrations of m-primary ideals in a Noetherian local ring R, generalizing the classical theory for m-primary ideals. We construct a real polynomial whose coecients give the mixed multiplicities. This polynomial exists if and only if the dimension of the nilradical of the
completion of R is less than the dimension of R, which holds for instance if R is excellent and reduced. We show that many of the classical theorems for mixed multiplicities of m primary ideals hold for ltrations, including the famous Minkowski inequalities of Teissier, and Rees and Sharp. This is joint work with Parangama Sarkar and Hema Srinivasan.Discipline/Coordinating Entity: Mathematics


December 7, 2018
11:00 am - 12:00 pm
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