2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/173249For a smooth Deligne-Mumford stack over $\CC$, we define its associated Kodaira-Spencer differential graded Lie algebra and show that the deformation functor of the stack is isomorphic to the deformation functor of the Kodaira-Spencer algebra if the stack is proper over $\CC$.Algebraic GeometryDeformation of a smooth Deligne-Mumford stack via differential graded Lie algebratext