Non-torsion Brauer groups in positive characteristic
Algebraic Geometry
2022-05-23 v3
Abstract
Unlike the classical Brauer group of a field, the Brauer-Grothendieck group of a singular scheme need not be torsion. We show that there exist integral normal projective surfaces over a large field of positive characteristic with non-torsion Brauer group. In contrast, we demonstrate that such examples cannot exist over the algebraic closure of a finite field.
Keywords
Cite
@article{arxiv.2102.01799,
title = {Non-torsion Brauer groups in positive characteristic},
author = {Louis Esser},
journal= {arXiv preprint arXiv:2102.01799},
year = {2022}
}
Comments
5 pages. Comments welcome! v3: final version, to appear in Proceedings of the American Mathematical Society