This paper incorporates the theory of Hochschild homology into our program on log motives.
We discuss a geometric definition of logarithmic Hochschild homology of animated pre-log …

In this work we develop a theory of motives for logarithmic schemes over fields in the sense
of Fontaine, Illusie, and Kato. Our construction is based on the notion of finite log …

We construct an integral $ p $-adic cohomology that compares with rigid cohomology after
inverting $ p $. Our approach is based on the log-Witt differentials of Hyodo-Kato and log …

In this paper, we study cohomology theories of Q-modulus pairs, which are pairs (X, D)
consisting of a scheme X and a Q-divisor D. Our main theorem provides a sufficient …

Reciprocity sheaves and logarithmic motives Page 1 Reciprocity sheaves and logarithmic
motives Shuji Saito Compositio Math. 159 (2023), 355–379. doi:10.1112/S0010437X22007862 …

This document is a short user's guide to the theory of motives and homotopy theory in the
setting of logarithmic geometry. We review some of the basic ideas and results in relation to …

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 ramification …

Abstract 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 …

We construct a theory of higher local symbols along Paršin chains for reciprocity sheaves.
Applying this formalism to differential forms, gives a new construction of the Paršin …

This is the first of a series of papers, where we investigate hierarchies of generalized {L}\"{u}
roth problems on the hierarchy of rationality, starting with the obvious hierarchy between the …