Abstract
We prove that under a certain mild hypothesis, the DG category of D-modules on a quasi-compact algebraic stack is compactly generated. We also show that under the same hypothesis, the functor of global sections on the DG category of quasi-coherent sheaves is continuous.
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Drinfeld, V., Gaitsgory, D. On Some Finiteness Questions for Algebraic Stacks. Geom. Funct. Anal. 23, 149–294 (2013). https://doi.org/10.1007/s00039-012-0204-5
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DOI: https://doi.org/10.1007/s00039-012-0204-5