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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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


Author: Yunfeng Jiang
Journal: Proc. Amer. Math. Soc. 136 (2008), 4151-4156
MSC (2000): Primary 14A20
Published electronically: 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: http://dx.doi.org/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
Published electronically: July 23, 2008
Communicated by: Ted Chinburg
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.