Picard sheaves, local Brauer groups, and topological modular forms
Publication date
2022-10-27
Authors
Antieau, Benjamin
Meier, Lennart
Stojanoska, Vesna
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Document Type
/dk/atira/pure/researchoutput/researchoutputtypes/workingpaper/preprint
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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.
Keywords
math.AG, math.AT, 14F22, 14H52, 14K10, 55N34, Brauer groups, topological modular forms, moduli of elliptic curves, elliptic cohomology
Citation
Antieau, B, Meier, L & Stojanoska, V 2022 'Picard sheaves, local Brauer groups, and topological modular forms' arXiv, pp. 1-41. https://doi.org/10.48550/arXiv.2210.15743