An Alternating Property for Higher Brauer Groups
Number Theory
2018-02-06 v2 Algebraic Geometry
Abstract
Using the calculus of Steenrod operations in \'etale cohomology developed in [Feng17], we prove that the analogue of Tate's pairing on higher Brauer groups is alternating on 2-torsion. This improves upon a result of Jahn [Jahn15, Math. Annalen].
Keywords
Cite
@article{arxiv.1709.08040,
title = {An Alternating Property for Higher Brauer Groups},
author = {Tony Feng},
journal= {arXiv preprint arXiv:1709.08040},
year = {2018}
}
Comments
This paper is being withdrawn because it has been completely subsumed by (version 2 of) arXiv:1706.00151