Insufficiency of the Brauer-Manin obstruction applied to étale covers

By Bjorn Poonen. 2008

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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.

Subfields: Geometry and Topology, History and Philosophy of Science, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5d586116a867c3001aa476057a6ff64c0ce51088