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math.AG2023
Coherently complete algebraic stacks in positive characteristic
Jarod Alper, Jack Hall, David Benjamin Lim
With the long-term goal of proving local structure theorems of algebraic stacks in positive characteristic near points with reductive (but possibly non-linearly reductive) stabiliz…
math.AG2012★ 3 cited
Openness of versality via coherent functors
Jack Hall
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 obstr…
math.AG2012★ 3 cited
Cohomology and base change for algebraic stacks
Jack Hall
We prove that cohomology and base change holds for algebraic stacks, generalizing work of Brochard in the tame case. We also show that Hom-spaces on algebraic stacks are represente…