Mathematics – Algebraic Geometry
Scientific paper
2008-11-05
J. Algebra 320 (2008) 3481-3492
Mathematics
Algebraic Geometry
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 $\CC$.
Nagai Yasunari
Sato Fumitoshi
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