Insufficiency of the Brauer-Manin obstruction applied to etale covers

Details Insufficiency of the Brauer-Manin obstruction applied to etale covers Insufficiency of the Brauer-Manin obstruction applied to etale covers

2008-06-08

arxiv.org/abs/0806.1312v1

Mathematics

Number Theory

11 pages

Scientific paper

Let k be any global field of characteristic not 2. We construct a k-variety X
such that X(k) is empty, but for which the emptiness cannot be explained by the
Brauer-Manin obstruction or even by the Brauer-Manin obstruction applied to
finite etale covers.

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