COHEN-MACAULAY REES ALGEBRAS OF IDEALS HAVING ANALYTIC DEVIATION TWO

Abstract

For a certain class of ideals with analytic deviation two in a Gorenstein local ring, a criterion for the Rees algebra to be Cohen-Macaulay is given in terms of the Cohen-Macaulayness of the associated graded ring and the reduction number with respect to a minimal reduction for the ideal. Some consequences are discussed.