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

Mathematics – Commutative Algebra

Scientific paper

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8 Pages

Scientific paper

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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