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arXiv · 2509.14231

Dualizability of derived categories of algebraic stacks

Germán Stefanich
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Abstract

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 reduced identity component of the stabilizer of $X$ at every geometric point of positive characteristic is a torus. Along the way, we show that this condition on stabilizers is also equivalent to an array of other categorical conditions of interest.

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Germán Stefanich. 2025-09-17. Dualizability of derived categories of algebraic stacks. https://arxiv.org/abs/2509.14231

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