Odd order Brauer--Manin obstruction on diagonal quartic surfaces
Number Theory
2013-12-24 v1
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.
Keywords
Cite
@article{arxiv.1312.6255,
title = {Odd order Brauer--Manin obstruction on diagonal quartic surfaces},
author = {Evis Ieronymou and Alexei N. Skorobogatov},
journal= {arXiv preprint arXiv:1312.6255},
year = {2013}
}
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24 pages