On the Brauer group of bielliptic surfaces

TL;DR

This paper explicitly describes the torsion in the second cohomology of bielliptic surfaces and examines the relationship between their Brauer groups and those of their canonical covers.

Contribution

It provides explicit generators for the torsion part of the second cohomology and analyzes the pullback map between Brauer groups of bielliptic surfaces and their covers.

Findings

Explicit generators for torsion in second cohomology

Analysis of the pullback map on Brauer groups

Insights into the structure of bielliptic surfaces' Brauer groups

Abstract

We provide explicit generators for the torsion of the second cohomology of bielliptic surfaces, and we use this to study pullback map between Brauer group of a bielliptic surface and that of its canonical cover.