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arXiv · 2204.02927

Six-Functor-Formalisms on Higher Stacks

Fritz Hörmann
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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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Fritz Hörmann. 2022-04-06. Six-Functor-Formalisms on Higher Stacks. https://arxiv.org/abs/2204.02927

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