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AN INEQUALITY INVOLVING TIGHT CLOSURE AND PARAMETER IDEALS

Published online by Cambridge University Press:  28 April 2004

CĂTĂLIN CIUPERCĂ  and
FLORIAN ENESCU
CĂTĂLIN CIUPERCĂ
Affiliation:
Department of Mathematics, University of Missouri, Columbia, MO 65211, USAciuperca@math.ucr.edu
FLORIAN ENESCU
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USAenescu@math.utah.edu The Institute of Mathematics of the Romanian Academy, Bucharest, Romania
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Abstract

An inequality is established involving colengths of the tight closure of ideals of systems of parameters in local rings with some mild conditions. As an application, a proof is given of a result due to Goto and Nakamura (first conjectured by Watanabe and Yoshida), which states that the Hilbert–Samuel multiplicity of a parameter ideal is greater than or equal to the colength of the tight closure of the ideal. The result is also further refined.

Keywords

13D4013A3513H15
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 3 , May 2004 , pp. 351 - 357
Copyright
© The London Mathematical Society 2004

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