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Ideals having the expected reduction number
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 118, Number 1, February 1996
- pp. 17-38
- 10.1353/ajm.1996.0006
- Article
- Additional Information
It is known that the blow-up algebras of an ideal enjoy many good properties if the reduction number of the ideal satisfies an expected upper bound. In this paper we characterize ideals that have this expected reduction number. Applied to perfect ideals of grade two, our result yields a concrete criterion in terms of Fitting ideals for when the Rees algebra is Cohen-Macaulay.