Abstract
In this article we investigate the Gorenstein property of the associated graded ring G A ( I) of an ideal I in a Gorenstein local ring (A, m) of positive dimension. We especially concentrate on the case where I is m -primary. Assuming that the Rees algebra of I is Cohen–Macaulay we then give necessary and sufficient conditions for the Gorensteiness of G A ( I) in terms of the Hilbert coefficients of I.
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