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math.AC2004
The Gorenstein and complete intersection properties of associated graded rings
William Heinzer, Mee-Kyoung Kim, Bernd Ulrich
Let I be an m-primary ideal of a Noetherian local ring (R,m). We consider the Gorenstein and complete intersection properties of the associated graded ring G(I) and the fiber cone…
math.AC2004
Integral closures of ideals in completions of regular local domains
William Heinzer, Christel Rotthaus, Sylvia Wiegand
In this paper we exhibit an example of a three-dimensional regular local domain (A, n) having a height-two prime ideal P with the property that the extension PA^ of P to the n-adic…