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arXiv · 0806.4820

Computing j-multiplicity

Koji Nishida·Bernd Ulrich
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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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Koji Nishida, Bernd Ulrich. 2008-06-30. Computing j-multiplicity. https://arxiv.org/abs/0806.4820

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