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arXiv 2013-04-22 0 views

On the Equality of Ordinary and Symbolic Powers of Ideals

Hosry, Aline · Kim, Youngsu · Validashti, Javid

Original · EN

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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