Morita theory on root gerbes

Published 30 Sep 2024 in math.AG and math.NT | (2409.20317v1)

Abstract: We study Morita theory of Azumaya algebras on root gerbes $\mathscr{X}$. There, we find explicit equivalent conditions for Morita equivalence. During this study, we find examples of a decomposable category become indecomposable after a Brauer twist.

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