We improve the arithmetic duality formalism of the rational etale site. This improvement allows us to avoid some exotic approximation arguments on local fields with ind-rational base, thus simplifying the proofs of the previously established duality theorems in the rational etale site and making the formalism more user-friendly. In a subsequent paper, this new formulation will be used in a crucial way to study duality for two-dimensional local rings.
Arithmetic duality for two-dimensional local rings with perfect residue field
A cohomological Hasse principle over two-dimensional local rings
Class field theory, Hasse principles and Picard-Brauer duality for two-dimensional local rings
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