English

On the Brauer group of bielliptic surfaces

Algebraic Geometry 2023-03-28 v2

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.

Keywords

Cite

@article{arxiv.1910.12537,
  title  = {On the Brauer group of bielliptic surfaces},
  author = {Jonas Bergström and Eugenia Ferrari and Sofia Tirabassi and Magnus Vodrup},
  journal= {arXiv preprint arXiv:1910.12537},
  year   = {2023}
}

Comments

Main Article by E. Ferrari, S. Tirabassi and M. Vodrup. Appendix by J. Bergstr\"om and S. Tirabassi. Comments are welcome.V2: fixed a minor mistake in the proof of lemma 4.1, improved introduction, added examples