Insufficiency of the Brauer-Manin obstruction applied to etale covers
classification
🧮 math.NT
math.AG
keywords
brauer-maninobstructionappliedcoversetalecannotcharacteristicconstruct
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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.
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