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arXiv · 2309.05931

Brauer-Manin obstructions requiring arbitrarily many Brauer classes

Jennifer Berg·Carlo Pagano·Bjorn Poonen·Michael Stoll·Nicholas Triantafillou·Bianca Viray·Isabel Vogt
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Abstract

On a projective variety defined over a global field, any Brauer--Manin obstruction to the existence of rational points is captured by a finite subgroup of the Brauer group. We show that this subgroup can require arbitrarily many generators.

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Jennifer Berg, Carlo Pagano, Bjorn Poonen, Michael Stoll, Nicholas Triantafillou, Bianca Viray, Isabel Vogt. 2023-09-12. Brauer-Manin obstructions requiring arbitrarily many Brauer classes. https://arxiv.org/abs/2309.05931

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