• 충청수학회지
• /
• 제32권4호
• /
• pp.383-391
• /
• 2019

For a DM stack 𝓧, Chen, Marcus and Úlfarsson ([3]) constructed a stack 𝓖_𝓧 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 S_𝓧 of subgroups of the inertia stack of 𝓧. In this article, we show that when 𝓧 is a quotient stack, the stacks 𝑺_𝓧 and 𝓖_𝓧 are also quotient stacks.