Picard sheaves, local Brauer groups, and topological modular forms

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 étale cover of the moduli stack, up to a finite 2-torsion group.

41 pages

Cited by in corpus (1)

• The relative Brauer group of $K(1)$-local spectra