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

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

1996-06-06

arxiv.org/abs/alg-geom/9606005v1

Mathematics

Algebraic Geometry

AMSTeX 2.1

Scientific paper

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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