A new extended weighted blow-up construction yields proper Deligne-Mumford compactifications of stable maps to quotient stacks with projective good moduli space.
[Vis89] Angelo Vistoli, Intersection theory on algebraic stacks and on their moduli spaces, Inventiones mathematicae 97 (1989), no
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Stable maps to quotient stacks with a properly stable point
A new extended weighted blow-up construction yields proper Deligne-Mumford compactifications of stable maps to quotient stacks with projective good moduli space.