On Some Finiteness Questions for Algebraic Stacks |
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| Authors: | Vladimir Drinfeld Dennis Gaitsgory |
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| Affiliation: | 1. Department of Mathematics, The University of Chicago, 5734 S;University Avenue, Chicago, IL, 60637, USA
2. Department of Mathematics, Harvard University, One Oxford Street, Cambridge, MA, 02138, USA
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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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