Cohen-Macaulay and Gorenstein property of Rees algebras of non-singular equimultiple prime ideals
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We give criteria for the Cohen-Macaulay and Gorenstein property of Rees algebras of height 2 non-singular equimultiple prime ideals in terms of explicite representations of the associated graded rings. As consequences, we show that in general, the Cohen-Macaulay resp. Gorenstein property of such Rees algebras does not imply the Cohen-Macaulay resp. Gorenstein property of the base ring and that these properties depend upon the characteristic.
KeywordsExact Sequence Prime Ideal Local Ring Polynomial Ring Regular Sequence
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