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math.AG2024
Uniqueness of six-functor formalisms
Adam Dauser, Josefien Kuijper
We present an alternative formulation of Scholze's notions of cohomologically proper and cohomologically étale with respect to an abstract six-functor formalism. These conditions g…
math.AG2023
An axiomatization of six-functor formalisms
Josefien Kuijper
In this paper, we consider some variations on Mann's definition -categorical definition of abstract six-functor formalisms. We consider Nagata six-functor formalisms, that…