English

On some finiteness questions for algebraic stacks

Algebraic Geometry 2012-10-29 v3

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.

Keywords

Cite

@article{arxiv.1108.5351,
  title  = {On some finiteness questions for algebraic stacks},
  author = {Vladimir Drinfeld and Dennis Gaitsgory},
  journal= {arXiv preprint arXiv:1108.5351},
  year   = {2012}
}
R2 v1 2026-06-21T18:55:43.342Z