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arXiv · 1312.7539

Descent on toric fibrations

Alexei N. Skorobogatov
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Abstract

We describe descent on families of torsors of a constant torus. A recent result of Browning and Matthiesen then implies that the Brauer--Manin obstruction controls the Hasse principle and weak approximation when the ground field is the field of rational numbers and the singular fibres are all defined over this field.

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Alexei N. Skorobogatov. 2013-12-29. Descent on toric fibrations. https://arxiv.org/abs/1312.7539

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