Coefficient ideals and the Cohen-Macaulay property of Rees algebras
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- by Eero Hyry
- Proc. Amer. Math. Soc. 129 (2001), 1299-1308
- DOI: https://doi.org/10.1090/S0002-9939-00-05673-2
- Published electronically: October 24, 2000
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Abstract:
Let $A$ be a local ring and let $I\subset A$ be an ideal of positive height. If $J\subset I$ is a reduction of $I$, then the coefficient ideal $\mathfrak {a}(I,J)$ is by definition the largest ideal $\mathfrak {a}$ such that $I\mathfrak {a}= J\mathfrak {a}$. In this article we study the ideal $\mathfrak {a}(I,J)$ when the Rees algebra $R_A(I)$ is Cohen-Macaulay.References
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Bibliographic Information
- Eero Hyry
- Affiliation: Department of Technology, National Defense College, Santahamina, FIN-00860, Helsinki, Finland
- Email: Eero.Hyry@helsinki.fi
- Received by editor(s): April 12, 1999
- Received by editor(s) in revised form: August 24, 1999
- Published electronically: October 24, 2000
- Communicated by: Wolmer V. Vasconcelos
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1299-1308
- MSC (2000): Primary 13A30; Secondary 13B22, 14B05
- DOI: https://doi.org/10.1090/S0002-9939-00-05673-2
- MathSciNet review: 1712905