Deformation of a smooth Deligne-Mumford stack via differential graded Lie algebra
Algebraic Geometry
2008-11-06 v1
Abstract
For a smooth Deligne-Mumford stack over , 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 .
Keywords
Cite
@article{arxiv.0811.0689,
title = {Deformation of a smooth Deligne-Mumford stack via differential graded Lie algebra},
author = {Yasunari Nagai and Fumitoshi Sato},
journal= {arXiv preprint arXiv:0811.0689},
year = {2008}
}