On the number of generators of Cohen-Macaulay ideals

D’Cruz, Clare; Verma, J.

doi:10.1090/S0002-9939-00-05410-1

On the number of generators of Cohen-Macaulay ideals
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by Clare D’Cruz and J. K. Verma PDF

Proc. Amer. Math. Soc. 128 (2000), 3185-3190 Request permission

Abstract:

Several bounds on the number of generators of Cohen-Macaulay ideals known in the literature follow from a simple inequality which bounds the number of generators of such ideals in terms of mixed multiplicities. Results of Cohen and Akizuki, Abhyankar, Sally, Rees and Boratynski-Eisenbud-Rees are deduced very easily from this inequality.

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