On Some Finiteness Questions for Algebraic Stacks
By V. Drinfeld, D. Gaitsgory. 2011
145 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/80bb6d50ae078229ffcc1ebbaa3c6d754676fca1
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In Algebra and Number Theory
In Geometry and Topology
- D. Arinkin
- D. Gaitsgory
- E. Frenkel
- V. Drinfeld
- Bertrand Toën
- R. Bezrukavnikov
- E. Witten
- Tamás Hausel
In Mathematical Physics
- D. Arinkin
- D. Gaitsgory
- E. Frenkel
- V. Drinfeld
- Bertrand Toën
- R. Bezrukavnikov
- E. Witten
- T. Mochizuki
Citations in the corpus
- Singular support of coherent sheaves and the geometric Langlands conjecture (2012, methodology): “In this section all Artin stacks will be quasi-compact with an affine diagonal (in particular, they all are QCA algebraic stacks in the sense of [DrG0]).”