Multiplicities and Rees valuations

作者：Katz Daniel^*; Validashti Javid

来源：Collectanea Mathematica, 2010, 61(1): 1-24.

DOI：10.1007/BF03191222

• Rees valuation
• j-multiplicity
• quasi-unmixed local ring

Let (R, m) be a local ring of Krull dimension d and I subset of 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(n(d)) rate.

• 出版日期2010