Deformation of a smooth Deligne-Mumford stack via differential graded Lie algebra

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

10.1016/j.jalgebra.2008.08.020

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 $\CC$.

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