Multiplicities and Rees valuations
- Cite this article as:
- Katz, D. & Validashti, J. Collect. Math. (2010) 61: 1. doi:10.1007/BF03191222
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Let (R;m) be a local ring of Krull dimensiond andI ⊆R be an ideal with analytic spreadd. We show that thej-multiplicity ofI is determined by the Rees valuations ofI centered on m. We also discuss a multiplicity that is the limsup of a sequence of lengths that grow at anO(nd) rate.