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

Yasunari Nagai, Fumitoshi Sato

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)3481-3492
Number of pages12
JournalJournal of Algebra
Volume320
Issue number9
DOIs
Publication statusPublished - 2008 Nov 1
Externally publishedYes

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Graded Lie Algebras
Functor
Isomorphic
Algebra

Keywords

  • Deformation theory
  • Deligne-Mumford stack

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Deformation of a smooth Deligne-Mumford stack via differential graded Lie algebra. / Nagai, Yasunari; Sato, Fumitoshi.

In: Journal of Algebra, Vol. 320, No. 9, 01.11.2008, p. 3481-3492.

Research output: Contribution to journalArticle

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