Article ID Journal Published Year Pages File Type
4587836 Journal of Algebra 2008 12 Pages PDF
Abstract

For a smooth Deligne–Mumford stack over C, 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 C.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory