# Repositorio

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

Zarzuela, Santiago

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

**Repository:**Recercat: Dipósit de la Recerca de Catalunya

**See at:**http://hdl.handle.net/2445/7705