Degenerations of twisted maps to algebraic stacks

Andrea Di Lorenzo; Giovanni Inchiostro

Degenerations of twisted maps to algebraic stacks

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arxiv 2210.03806 v2 pith:C36PQLHI submitted 2022-10-07 math.AG

Andrea Di Lorenzo , Giovanni Inchiostro This is my paper · ORCID

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keywords twistedalgebraiccriteriondefinitiondegenerationsexistencefunctorgive

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We give a definition of twisted map to a quotient stack with projective good moduli space, and we show that the resulting functor satisfies the existence part of the valuative criterion for properness.

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Root stack valuative criterion for good moduli spaces
math.AG 2025-07 accept novelty 7.0 of 10

The authors prove a root stack valuative criterion for good moduli spaces and reductive gerbes, enabling root-extension of generic points and several arithmetic and moduli applications.

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