Picard sheaves, local Brauer groups, and topological modular forms
Algebraic Geometry
2023-01-30 v1 Algebraic Topology
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.
Cite
@article{arxiv.2210.15743,
title = {Picard sheaves, local Brauer groups, and topological modular forms},
author = {Benjamin Antieau and Lennart Meier and Vesna Stojanoska},
journal= {arXiv preprint arXiv:2210.15743},
year = {2023}
}
Comments
41 pages