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Six-Functor-Formalisms on Higher Stacks

Published 6 Apr 2022 in math.AG, math.AT, and math.CT | (2204.02927v1)

Abstract: In this article, it is shown that derivator six-functor-formalisms on any (classical) site canonically extend to higher geometric stacks as defined by To\"en-Vezzosi under some natural locality conditions. As an application, it is shown that the six-functor-formalisms of Morel-Voevodsky-Ayoub extend to higher (Nisnevich-)Artin stacks locally of finite type over some fixed base scheme.

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