Picard sheaves, local Brauer groups, and topological modular forms

Published 27 Oct 2022 in math.AG and math.AT | (2210.15743v1)

Abstract: We prove that the Brauer group of TMF is isomorphic to the Brauer group of the derived moduli stack of elliptic curves. Then, we compute the local Brauer group, i.e., the subgroup of the Brauer group of elements trivialized by some \'etale cover of the moduli stack, up to a finite 2-torsion group.

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