On the Equality of Ordinary and Symbolic Powers of Ideals

Aline Hosry; Youngsu Kim; Javid Validashti

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arXiv · 1304.5833

On the Equality of Ordinary and Symbolic Powers of Ideals

Aline Hosry·Youngsu Kim·Javid Validashti

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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.

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Aline Hosry, Youngsu Kim, Javid Validashti. 2013-04-22. On the Equality of Ordinary and Symbolic Powers of Ideals. https://arxiv.org/abs/1304.5833

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