Deformation of a smooth Deligne-Mumford stack via differential graded Lie algebra
arXiv:0811.0689 · doi:10.1016/j.jalgebra.2008.08.020
Abstract
For 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 $\CC$.