The paper axiomatizes Nagata and local six-functor formalisms, showing they arise from adjoint triples on open and proper maps and correspond to lax symmetric monoidal functors from smooth complete varieties to presentable stable ∞-categories.
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An axiomatization of six-functor formalisms
The paper axiomatizes Nagata and local six-functor formalisms, showing they arise from adjoint triples on open and proper maps and correspond to lax symmetric monoidal functors from smooth complete varieties to presentable stable ∞-categories.