On the Equality of Ordinary and Symbolic Powers of Ideals
Commutative Algebra
2013-04-23 v1
Abstract
We consider the following question concerning the equality of ordinary and symbolic powers of ideals. In a regular local ring, if the ordinary and symbolic powers of a one-dimensional prime ideal are the same up to its height, then are they the same for all powers? We provide supporting evidence of a positive answer for classes of prime ideals defining monomial curves or rings of low multiplicities.
Keywords
Cite
@article{arxiv.1304.5833,
title = {On the Equality of Ordinary and Symbolic Powers of Ideals},
author = {Aline Hosry and Youngsu Kim and Javid Validashti},
journal= {arXiv preprint arXiv:1304.5833},
year = {2013}
}