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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
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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.


References:

[1]
D. Abramovich, A. Corti and A. Vistoli,
Twisted bundles and admissible covers, Commun. Algebra 31 (2003), no. 8, 3547-3618. MR 2007376 (2005b:14049)

[2]
K. Behrend, D. Edidin, B. Fantechi, W. Fulton, L. Göttsche, and A. Kresch, Introduction to stacks, in preparation.

[3]
K. Behrend and B. Noohi,
Uniformization of Deligne-Mumford curves, J. Reine Angew. Math. 599 (2006), 111-153. MR 2279100 (2007k:14017)

[4]
L. Borisov, L. Chen and G. Smith,
The orbifold Chow ring of toric Deligne-Mumford stacks, J. Amer. Math. Soc. 18 (2005), no. 1, 193-215. MR 2114820 (2006a:14091)

[5]
D. Cox,
The homogeneous coordinate ring of a toric variety, J. of Algebraic Geometry, 4 (1995), 17-50. MR 1299003 (95i:14046)

[6]
W. Fulton, Introduction to toric varieties, Annals of Mathematics Studies 131, Princeton University Press, Princeton, NJ, 1993. MR 1234037 (94g:14028)


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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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