Compact generation of the category of D-modules on the stack of G-bundles on a curve
By V. Drinfeld, D. Gaitsgory. 2011
77 citations recorded by the source corpus.
The goal of the paper is to show that the (derived) category of D-modules on the stack Bun_G(X) is compactly generated. Here X is a smooth complete curve, and G is a reductive group. The problem is that Bun_G(X) is not quasi-compact, so the above compact generation is not automatic. The proof is based on the following observation: Bun_G(X) can be written as a union of quasi-compact open substacks, which are "co-truncative", i.e., the j_! extension functor is defined on the entire category of D-modules.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/1ea3eb0198a5577c3fcecca30b2714be023eb506
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- D. Gaitsgory
- E. Frenkel
- V. Drinfeld
- E. Witten
- D. Arinkin
- T. Mochizuki
- R. Bezrukavnikov
- Y. Sakellaridis
In Mathematical Physics
- D. Gaitsgory
- E. Frenkel
- V. Drinfeld
- E. Witten
- D. Arinkin
- T. Mochizuki
- R. Bezrukavnikov
- Y. Sakellaridis
Citations in the corpus
- Outline of the proof of the geometric Langlands conjecture for $GL_2$ (2013, methodology): “We refer the reader to [DrGa2] for the definition of this category and a discussion of its general properties (e.”