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

2006/04/08 by Hamid Rahmati, Rahmati, Hamid
Mathematics · #13D02 #13D40 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AC #msc:13D02 #msc:13D40

paper · pdf · doi:10.48550/arxiv.math/0604178

8 Pages

arxiv created 2006/04/08 · openalex publication_date 2006/04/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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