2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170425Let X be a smooth complex affine curve, and let R be the space of right ideal classes in the ring D of differential operators on X. We introduce and study a fibration γ: R \to Pic(X). We relate this fibration to the corresponding one in the classical limit, and derive an integer invariant $ n $ which indexes the decomposition of the fibres of γinto Calogero-Moser spaces (see [BC]). We also study the action of the group Pic(D) on our fibration; and we explain how to define γin the framework of the Grassmannian description of R due to Cannings and Holland.12 pagesQuantum AlgebraAlgebraic Geometry16S32; 14H60Differential operators on an affine curve: ideal classes and Picard groupstext