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.
Six-functor-formalisms and fibered multiderivators
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AG 1years
2023 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.