Let (R,m) be a local ring of Krull dimension d and I ⊆ R be an ideal with analytic spread d. We show that the j-multiplicity of I is determined by the Rees valuations of I centered on m. We also discuss a multiplicity that is the limsup of a sequence of lengths that grow at an O(nd) rate. © 2010 Universitat de Barcelona.
CITATION STYLE
Katz, D., & Validashti, J. (2010). Multiplicities and Rees valuations. Collectanea Mathematica, 61(1), 1–24. https://doi.org/10.1007/BF03191222
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