Geometric and Functional Analysis

, Volume 23, Issue 1, pp 149–294 | Cite as

On Some Finiteness Questions for Algebraic Stacks

  • Vladimir Drinfeld
  • Dennis Gaitsgory


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.


Natural Transformation Full Subcategory Monoidal Category Left Adjoint Projection Formula 
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© Springer Basel 2013

Authors and Affiliations

  1. 1.Department of MathematicsThe University of ChicagoChicagoUSA
  2. 2.Department of MathematicsHarvard UniversityCambridgeUSA

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