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http://dx.doi.org/10.14403/jcms.2019.32.4.383

THE STACK OF GERBES IN A QUOTIENT STACK  

Cheong, Daewoong (Chungbuk National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.32, no.4, 2019 , pp. 383-391 More about this Journal
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.
Keywords
gerbes; quotient stack;
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