Twisted $\mathcal{D}$-module extensions of local systems on a certain subvariety isomorphic to ${{\mathbb{G}}_{\text{m}}}^2$ of the affine flag variety of ${\text{SL}}_2$

Claude Eicher

We introduce a family of rank-one local systems in the category of twisted $\mathcal{D}$-modules on a certain subvariety isomorphic to ${{\mathbb{G}}_{\text{m}}}^2$ of the affine fla…