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On the Equality of Ordinary and Symbolic Powers of Ideals (1304.5833v1)
Published 22 Apr 2013 in math.AC
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.