67 citations · 362 across the 48 of their papers we have counts for
43 papers · 1 filter
An integral Hyodo--Kato isomorphism
Federico Binda, Shuji Saito
Let be a mixed characteristic complete DVR with perfect residue field , and let be a proper formal scheme over with semistable red…
A construction of tame sheaves and tame de Rham--Witt cohomology
Alberto Merici, Kay Rülling, Shuji Saito
In this article, we consider an algebraic version of the tame site of a pair . With this definition, we provide a general machinery to construct a tame sheaf fro…
Birational and -invariant lattices in the cohomology of the structure sheaf over non-archimedean fields
Alberto Merici, Kay Rülling, Shuji Saito
We show that the cohomology of the structure sheaf of smooth and proper schemes over a complete non-archimedean field of characteristic zero, can be refined to an $\mathbf{A}^1…
Ramification theory for reciprocity sheaves, III, Abbes-Saito formula
Kay Rülling, Shuji Saito
We give a new geometric characterization of the motivic ramification filtration of reciprocity sheaves, by imitating a method used by Abbes and (Takeshi) Saito to study the ramific…
Ramification theory of reciprocity sheaves, II, Higher local symbols
Kay Rülling, Shuji Saito
We construct a theory of higher local symbols along Parsin chains for reciprocity sheaves. Applying this formalism to differential forms, gives a new construction of the Parsin-Lom…
Ramification theory of reciprocity sheaves, I, Zariski-Nagata purity
Kay Rülling, Shuji Saito
We prove a Zariski-Nagata purity theorem for the motivic ramification filtration of a reciprocity sheaf. An important tool in the proof is a generalization of the Kato-Saito recipr…