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

Yasunari Nagai; Fumitoshi Sato

doi:10.1016/j.jalgebra.2008.08.020

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

Yasunari Nagai^*, Fumitoshi Sato

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Pages (from-to)	3481-3492
Number of pages	12
Journal	Journal of Algebra
Volume	320
Issue number	9
DOIs	https://doi.org/10.1016/j.jalgebra.2008.08.020
Publication status	Published - 2008 Nov 1
Externally published	Yes

Keywords

Deformation theory
Deligne-Mumford stack

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jalgebra.2008.08.020

Cite this

@article{f1cd6dfbf40f4689bd7a6570f4d55609,

title = "Deformation of a smooth Deligne-Mumford stack via differential graded Lie algebra",

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.",

keywords = "Deformation theory, Deligne-Mumford stack",

author = "Yasunari Nagai and Fumitoshi Sato",

year = "2008",

month = nov,

day = "1",

doi = "10.1016/j.jalgebra.2008.08.020",

language = "English",

volume = "320",

pages = "3481--3492",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

number = "9",

}

TY - JOUR

T1 - Deformation of a smooth Deligne-Mumford stack via differential graded Lie algebra

AU - Nagai, Yasunari

AU - Sato, Fumitoshi

PY - 2008/11/1

Y1 - 2008/11/1

N2 - 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.

AB - 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.

KW - Deformation theory

KW - Deligne-Mumford stack

UR - http://www.scopus.com/inward/record.url?scp=53049096942&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=53049096942&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2008.08.020

DO - 10.1016/j.jalgebra.2008.08.020

M3 - Article

AN - SCOPUS:53049096942

SN - 0021-8693

VL - 320

SP - 3481

EP - 3492

JO - Journal of Algebra

JF - Journal of Algebra

IS - 9

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this