Insufficiency of the Brauer-Manin obstruction applied to etale covers

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.

11 pages

References in corpus (2)

• Existence of rational points on smooth projective varieties
• Remarques sur un article r'ecent de B. Poonen

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