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arXiv · 0811.0689

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

Yasunari Nagai·Fumitoshi Sato
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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 $\CC$.

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Yasunari Nagai, Fumitoshi Sato. 2008-11-05. Deformation of a smooth Deligne-Mumford stack via differential graded Lie algebra. https://doi.org/10.1016/j.jalgebra.2008.08.020

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