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Free resolutions of parameter ideals over some rings with finite local cohomology

Hamid Rahmati
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Abstract

Let $R$ be a noetherian local ring. We consider the following quastion: Does there exist an integer $n$ such that all idelas generated by a system of parameters contained in the $n$-th power of the maximal ideal have the same Betti numbers? We obtain a positive answer for some rings with finite local cohomology.

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Hamid Rahmati. 2006-04-08. Free resolutions of parameter ideals over some rings with finite local cohomology. https://arxiv.org/abs/math/0604178

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