Youngsu Kim

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20132023

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Showing 2016 · math.ACShow all

2 papers · 2 filters

math.AC2016

A note on Itoh (e)-Valuation Rings of and Ideal

Youngsu Kim, Louis J. Ratliff, David E. Rush

Let $I$ be a regular proper ideal in a Noetherian ring $R$ , let $e \geq 2$ be an integer, let $T_{e} = R [u, t I, u^{\frac{1}{e}}]^{'} \cap R [u^{\frac{1}{e}}, t^{\frac{1}{e}}]$ (where…

math.AC2016

Blowing Up Finitely Supported Complete Ideals in a Regular Local Ring

William Heinzer, Youngsu Kim, Matthew Toeniskoetter

Let I be a finitely supported complete m-primary ideal of a regular local ring (R, m). We consider singularities of the normalization of the blow-up Proj R[It] of I. A theorem of L…