Brauer–Manin obstructions requiring arbitrarily many Brauer classes

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

Abstract

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.

Locations

• Bulletin of the London Mathematical Society - View - PDF
• arXiv (Cornell University) - View - PDF