Quot Functors for Deligne-Mumford Stacks
Quot Functors for Deligne-Mumford Stacks
Abstract Given a separated and locally finitely-presented Deligne-Mumford stack 𝒳 over an algebraic space S, and a locally finitely-presented 𝒪𝒳-module ℱ, we prove that the Quot functor Quot(ℱ/𝒳/S) is represented by a separated and locally finitely-presented algebraic space over S. Under additional hypotheses, we prove that the connected components of …