Nonrational Covers of CP^mtimes CP^n
classification
alg-geom
math.AG
keywords
coverstimescharacteristicconnectedconstructcrucialcyclicexamples
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The 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.
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