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, Norway
  • Sofia Tirabassi

    Department of Mathematics, Stockholm University, Kraftriket hus 6, Stockholm, Sweden
  • Magnus Vodrup

    Department of Mathematics, University of Bergen, Allégaten 41, Bergen, Norway
  • Jonas Bergström

    Department of Mathematics, Stockholm University, Kraftriket hus 6, Stockholm, Sweden
On the Brauer group of bielliptic surfaces (with an appendix by Jonas Bergström and Sofia Tirabassi) cover
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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