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arXiv · 1312.6255

Odd order Brauer--Manin obstruction on diagonal quartic surfaces

Evis Ieronymou·Alexei N. Skorobogatov
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Abstract

We determine the odd order torsion subgroup of the Brauer group of diagonal quartic surfaces over the field of rational numbers. We show that a non-constant Brauer element of odd order always obstructs weak approximation but never the Hasse principle.

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Evis Ieronymou, Alexei N. Skorobogatov. 2013-12-21. Odd order Brauer--Manin obstruction on diagonal quartic surfaces. https://arxiv.org/abs/1312.6255

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