eLibM – Doc. Math. 27, 383-425 (2022)

Ferrari, Eugenia; Tirabassi, Sofia; Vodrup, Magnus; Bergström, Jonas

On the Brauer group of bielliptic surfaces (with an appendix by Jonas Bergström and Sofia Tirabassi)

Doc. Math. 27, 383-425 (2022)

DOI: 10.25537/dm.2022v27.383-425

Communicated by Gavril Farkas

Summary

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.

Mathematics Subject Classification

14F22, 14J27

Keywords/Phrases

bielliptic surfaces, Brauer group, canonical covers

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Affiliation

Ferrari, Eugenia

Department of Mathematics, University of Bergen, Allégaten 41, Bergen, Norway

Tirabassi, Sofia

Department of Mathematics, Stockholm University, Kraftriket hus 6, Stockholm, Sweden

Vodrup, Magnus