English

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

Commutative Algebra 2007-05-23 v1

Abstract

Let RR be a noetherian local ring. We consider the following quastion: Does there exist an integer nn such that all idelas generated by a system of parameters contained in the nn-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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Cite

@article{arxiv.math/0604178,
  title  = {Free resolutions of parameter ideals over some rings with finite local cohomology},
  author = {Hamid Rahmati},
  journal= {arXiv preprint arXiv:math/0604178},
  year   = {2007}
}

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8 Pages