A new extended weighted blow-up construction yields proper Deligne-Mumford compactifications of stable maps to quotient stacks with projective good moduli space.
Families of divisors
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abstract
We establish a new moduli theory for divisors, that interpolates between the Hilbert scheme and the Cayley-Chow variety. This completes the last step in the construction of a good moduli theory for stable pairs $(X,\Delta)$.
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math.AG 1years
2024 1verdicts
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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.