2 papers
math.AG2024
On spectral sequences for semiabelian varieties over non-closed fields
Alexander Petrov, Alexei Skorobogatov
We give a new, short proof of the formula for the first potentially non-zero differential of the Hochschild--Serre spectral sequence for semiabelian varieties over non-closed field…
math.AG2024
Boundedness of the p-primary torsion of the Brauer group of products of varieties
Alexei N. Skorobogatov
We prove that the quotient of the Brauer group of a product of varieties over k by the sum of the images of the Brauer groups of factors has finite exponent. The bulk of the proof…