Collectanea mathematica

, Volume 61, Issue 1, pp 1–24

Multiplicities and Rees valuations

Authors

    • Department of MathematicsUniversity of Kansas
  • Javid Validashti
    • Department of MathematicsUniversity of Kansas
Article

DOI: 10.1007/BF03191222

Cite this article as:
Katz, D. & Validashti, J. Collect. Math. (2010) 61: 1. doi:10.1007/BF03191222

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(nd) rate.

Keywords

Rees valuationjmultiplicityquasiunmixedlocal ring

MSC2000

Primary 13H1513A30Secondary 13J10

Copyright information

© Universitat de Barcelona 2010