An Alternating Property for Higher Brauer Groups
classification
🧮 math.NT
math.AG
keywords
alternatingbrauergroupshigheranalogueannalencalculuscohomology
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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].
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