paper

An Alternating Property for Higher Brauer Groups

arXiv:1709.08040

Abstract

Using the calculus of Steenrod operations in étale 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].

This paper is being withdrawn because it has been completely subsumed by (version 2 of) arXiv:1706.00151

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