Computing j-multiplicity

Details Computing j-multiplicity Computing j-multiplicity

2008-06-30

arxiv.org/abs/0806.4820v1

Mathematics

Commutative Algebra

15 pages

Scientific paper

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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