An improvement of the duality formalism of the rational etale site
arXiv:1902.03540
Abstract
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.
Accepted for publication in RIMS Kokyuroku Bessatsu, Algebraic Number Theory and Related Topics 2018. 36 pages