Motivic cohomology over Dedekind rings

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Duality via cycle complexes (2006, background): “; / is a (homological) complex of sheaves for the étale topology [11].”
Cohomological Hasse principle and motivic cohomology for arithmetic schemes (2010, methodology): “rithmetic schemes X. In this paper we adopt Hq M(X,Z(r)) = CHr(X,2r −q). as the deﬁnition of the motivic cohomology of regular X, where the right hand side is Bloch’s higher Chow group ([B], [Le] and [Ge1]). One of the important open problems is the conjecture that motivic cohomology of regular arit”
Syntomic complexes and p-adic nearby cycles (2015, background): “As Geisser has shown [30], in the case without log-structure, the isomorphism (1.”