Brauer-Manin obstructions requiring arbitrarily many Brauer classes
Number Theory
2023-09-13 v1 Algebraic Geometry
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.
Cite
@article{arxiv.2309.05931,
title = {Brauer-Manin obstructions requiring arbitrarily many Brauer classes},
author = {Jennifer Berg and Carlo Pagano and Bjorn Poonen and Michael Stoll and Nicholas Triantafillou and Bianca Viray and Isabel Vogt},
journal= {arXiv preprint arXiv:2309.05931},
year = {2023}
}
Comments
17 pages