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arxiv: 0807.3285 · v1 · submitted 2008-07-21 · 🧮 math.AG

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

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keywords toricdeligne-mumfordabelianfinitegerbesstackstackscertain
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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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