THE STACK OF GERBES IN A QUOTIENT STACK

Abstract

For a DM stack X , Chen, Marcus and ´Ulfarsson ([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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