, Volume 61, Issue 1, pp 1-24

Multiplicities and Rees valuations

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Abstract

Let (R;m) be a local ring of Krull dimensiond andIR 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(n d) rate.

To Professor D. Rees, in honor of his nintieth birthday