2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150157The aim of the paper is to construct examples of cyclic covers of $CP^m\times CP^n$ which are rationally connected but are not rational. The crucial point turns out to be the study of Del Pezzo surfaces over function fields in positive characteristic.AMSTeX 2.1Algebraic GeometryNonrational Covers of $CP^m\times CP^n$text