On some finiteness questions for algebraic stacks

Details On some finiteness questions for algebraic stacks On some finiteness questions for algebraic stacks

2011-08-26

arxiv.org/abs/1108.5351v1

Mathematics

Algebraic Geometry

Scientific paper

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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