Computing j-multiplicity

2008/06/30 by Nishida, Koji, Ulrich, Bernd
#13D40 #13H15 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.0806.4820

Abstract

The j-multiplicity is an invariant that can be defined for any ideal in a Noetherian local ring (R, m). It is equal to the Hilbert-Samuel multiplicity if the ideal is m-primary. In this paper we explore the computability of the j-multiplicity, giving another proof for the length formula and the additive formula.

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