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

Jiang, Yunfeng

doi:10.1090/S0002-9939-08-09461-6

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

Proc. Amer. Math. Soc. 136 (2008), 4151-4156

DOI: https://doi.org/10.1090/S0002-9939-08-09461-6

Published electronically: 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.

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