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math.AG2025
Dualizability of derived categories of algebraic stacks
Germán Stefanich
We show that, for a Noetherian algebraic stack with quasi-affine diagonal , the stable -category of quasi-coherent sheaves on is dualizable if and only if the reduce…
math.AG2023
Tannaka duality and 1-affineness
Germán Stefanich
We show that Lurie's results on Tannaka duality for geometric stacks hold without any tameness hypotheses. We deduce this as a consequence of an affineness theorem in the theory of…