Germán Stefanich

collaborators

3 papers

math.AG2025

Dualizability of derived categories of algebraic stacks

Germán Stefanich

We show that, for a Noetherian algebraic stack with quasi-affine diagonal $X$ , the stable $\infty$ -category of quasi-coherent sheaves on $X$ 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…

math.CT2023

Derived $\infty$ -categories as exact completions

Germán Stefanich

We develop the theory of exact completions of regular $\infty$ -categories, and show that the $\infty$ -categorical exact completion (resp. hypercompletion) of an abelian category re…

Dualizability of derived categories of algebraic stacks

Tannaka duality and 1-affineness

Derived ∞-categories as exact completions

Derived $\infty$ -categories as exact completions