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Nonrational Covers of $CP^m\times CP^n$

János Kollár
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Abstract

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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János Kollár. 1996-06-06. Nonrational Covers of $CP^m\times CP^n$. https://arxiv.org/abs/alg-geom/9606005

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