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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 -gerbe over the underlying toric orbifold for a finite abelian group . 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:
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Uniformization of Deligne-Mumford curves, J. Reine Angew. Math. 599 (2006), 111-153. MR 2279100 (2007k:14017) - [4]
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The orbifold Chow ring of toric Deligne-Mumford stacks, J. Amer. Math. Soc. 18 (2005), no. 1, 193-215. MR 2114820 (2006a:14091) - [5]
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The homogeneous coordinate ring of a toric variety, J. of Algebraic Geometry, 4 (1995), 17-50. MR 1299003 (95i:14046) - [6]
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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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