The index of reducibility of parameter ideals in low dimension
Commutative Algebra
2007-05-23 v1
Abstract
Results are presented concerning the following question: If M is a finitely-generated module with finite local cohomologies over a Noetherian local ring (A, m), does there exist an integer n such that every parameter ideal for M contained in m^n has the same index of reducibility? We show that the answer is yes if M has dimension 1 or if M has dimension 2 and positive depth. This research is closely related to work of Goto-Suzuki and Goto-Sakurai; Goto-Sakurai have supplied an answer of yes in case M is Buchsbaum.
Keywords
Cite
@article{arxiv.math/0408143,
title = {The index of reducibility of parameter ideals in low dimension},
author = {Mark W. Rogers},
journal= {arXiv preprint arXiv:math/0408143},
year = {2007}
}
Comments
12 pages. J. Algebra 278/2 (2004) 571-584 (to appear)