Artin's axioms, composition and moduli spaces
classification
🧮 math.AG
keywords
artinaxiomscompositiongroupoidsstackstacksalexeevalgebraic
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We prove Artin's axioms satisfy a compatibility for composition of 1-morphisms of stacks in groupoids. Consequently, some natural stacks in groupoids are algebraic, including a common generalization of Vistoli's Hilbert stack and the stack of branchvarieties of Alexeev and Knutson.
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