Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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THE STACK OF GERBES IN A QUOTIENT STACK

  • Received : 2018.10.24
  • Accepted : 2018.11.12
  • Published : 2019.11.15
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Abstract

For a DM stack 𝓧, Chen, Marcus and Úlfarsson ([3]) constructed a stack 𝓖𝓧 of gerbes in 𝓧 that plays a key role in their setting up the theory of very twisted stable maps to 𝓧. This stack is realized as a rigidification of the stack S𝓧 of subgroups of the inertia stack of 𝓧. In this article, we show that when 𝓧 is a quotient stack, the stacks 𝑺𝓧 and 𝓖𝓧 are also quotient stacks.

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References

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