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arXiv · 0806.1312

Insufficiency of the Brauer-Manin obstruction applied to etale covers

Bjorn Poonen
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Abstract

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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BibTeXRIS

Bjorn Poonen. 2008-06-08. Insufficiency of the Brauer-Manin obstruction applied to etale covers. https://doi.org/10.4007/annals.2010.171.2157

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