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math.AC2013
Quasi-Gorensteinness of extended Rees algebras
Youngsu Kim
Let be a Noetherian local ring and an -ideal. It is well-known that if the associated graded ring $\gr_I(R)$ is Cohen-Macaulay (Gorenstein), then so is , but the conv…
math.AC2013
On the Equality of Ordinary and Symbolic Powers of Ideals
Aline Hosry, Youngsu Kim, Javid Validashti
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-dimensio…