Six-Functor-Formalisms on Higher Stacks
Algebraic Geometry
2022-04-07 v1 Algebraic Topology
Category Theory
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.
Keywords
Cite
@article{arxiv.2204.02927,
title = {Six-Functor-Formalisms on Higher Stacks},
author = {Fritz Hörmann},
journal= {arXiv preprint arXiv:2204.02927},
year = {2022}
}