On the depth of blowup algebras of ideals with analytic deviation one

Abstract

Abstract.Let / be an ideal in a local Cohen-Macaulay ring (A, m). Assume / to be generically a complete intersection of positive height. We compute the depth of the Rees algebra and the form ring of / when the analytic deviation of / equals one and its reduction number is also at most one. The formulas we obtain coincide with the already known formulas for almost complete intersection ideals.