Coefficient ideals and the Cohen-Macaulay property of Rees algebras

Hyry, Eero

doi:10.1090/S0002-9939-00-05673-2

Coefficient ideals and the Cohen-Macaulay property of Rees algebras

Author: Eero Hyry
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
Published electronically: October 24, 2000
MathSciNet review: 1712905
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Abstract:

Let be a local ring and let $I\subset A$ be an ideal of positive height. If $J\subset I$ is a reduction of , 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 is Cohen-Macaulay.

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