On the Brauer group of bielliptic surfaces (with an appendix by Jonas Bergström and Sofia Tirabassi)
Eugenia Ferrari
Department of Mathematics, University of Bergen, Allégaten 41, Bergen, NorwaySofia Tirabassi
Department of Mathematics, Stockholm University, Kraftriket hus 6, Stockholm, SwedenMagnus Vodrup
Department of Mathematics, University of Bergen, Allégaten 41, Bergen, NorwayJonas Bergström
Department of Mathematics, Stockholm University, Kraftriket hus 6, Stockholm, Sweden
Abstract
We provide explicit generators of the torsion of the second cohomology of bielliptic surfaces, and we use this to study the pullback map between the Brauer group of a bielliptic surface and that of its canonical cover.
Cite this article
Eugenia Ferrari, Sofia Tirabassi, Magnus Vodrup, Jonas Bergström, On the Brauer group of bielliptic surfaces (with an appendix by Jonas Bergström and Sofia Tirabassi). Doc. Math. 27 (2022), pp. 383–425
DOI 10.4171/DM/873