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A note on finite abelian gerbes over toric Deligne-Mumford stacks

Author(s): Yunfeng Jiang
Journal: Proc. Amer. Math. Soc. 136 (2008), 4151-4156.
MSC (2000): Primary 14A20
Posted: July 23, 2008
MathSciNet review: 2431027
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Abstract: Any toric Deligne-Mumford stack is a $\mu$ -gerbe over the underlying toric orbifold for a finite abelian group $\mu$ . In this paper we give a sufficient condition so that certain kinds of gerbes over a toric Deligne-Mumford stack are again toric Deligne-Mumford stacks.

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Additional Information:

Yunfeng Jiang
Affiliation: Department of Mathematics, University of Utah, 155 South 1400 East JWB233, Salt Lake City, Utah 84112
Email: jiangyf@math.utah.edu

DOI: 10.1090/S0002-9939-08-09461-6
PII: S 0002-9939(08)09461-6
Keywords: Gerbes, toric Deligne-Mumford stacks
Received by editor(s): September 11, 2006,
Received by editor(s) in revised form: May 8, 2007, June 10, 2007, October 11, 2007, and November 6, 2007
Posted: July 23, 2008
Communicated by: Ted Chinburg
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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