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arXiv · 1108.5351

On some finiteness questions for algebraic stacks

Vladimir Drinfeld·Dennis Gaitsgory
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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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Vladimir Drinfeld, Dennis Gaitsgory. 2012-10-26. On some finiteness questions for algebraic stacks. https://arxiv.org/abs/1108.5351

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