2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131278Let (X,D) be a D-scheme in the sense of Beilinson and Bernstein, given by an algebraic variety X and a morphism O_X -> D of sheaves of rings on X. We consider noncommutative deformations of quasi-coherent sheaves of left D-modules on X, and show how to compute their pro-representing hulls. As an application, we compute the noncommutative deformations of the left D_X-module O_X when X is any elliptic curve.8 pages, AMS-LaTeX, based on a talk I gave at the Baltic-Nordic Workshop in Lund, 12-14 October, 2006. Minor changes in v2Algebraic Geometry32C38; 13N10; 14D15text