Abstract
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(n d) rate.
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To Professor D. Rees, in honor of his nintieth birthday
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Katz, D., Validashti, J. Multiplicities and Rees valuations. Collect. Math. 61, 1–24 (2010). https://doi.org/10.1007/BF03191222
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DOI: https://doi.org/10.1007/BF03191222