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arXiv 2013-12-21 0 views

Odd order Brauer--Manin obstruction on diagonal quartic surfaces

Ieronymou, Evis · Skorobogatov, Alexei N.

Original · EN

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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