Openness of versality via coherent functors
classification
🧮 math.AG
keywords
coherentfunctorsobstructionopennessstacktheoriesversalityalgebraicity
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We give a proof of openness of versality using coherent functors. As an application, we streamline Artin's criterion for algebraicity of a stack. We also introduce multi-step obstruction theories, employing them to produce obstruction theories for the stack of coherent sheaves, the Quot functor, and spaces of maps in the presence of non-flatness.
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