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math.NT2023
Brauer-Manin obstructions requiring arbitrarily many Brauer classes
Jennifer Berg, Carlo Pagano, Bjorn Poonen +4
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…
math.AG2023★ 1 cited
Degrees of points on varieties over Henselian fields
Brendan Creutz, Bianca Viray
Let be a nonempty scheme over the field of fractions of a Henselian local ring . A result of Gabber, Liu and Lorenzini shows that the GCD of the set of degrees of closed p…
math.NT2023
Rational points on varieties and the Brauer-Manin obstruction
Bianca Viray
These lecture notes give an introduction to the Brauer-Manin obstruction to the existence of rational points, focusing on the interplay between theory and computation.