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 prove that (logarithmic) prismatic and (logarithmic) syntomic cohomology are
representable in the category of logarithmic motives. As an application, we obtain Gysin …

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 …

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 define higher pro-Albanese functors for every effective log motive over a field k of
characteristic zero, and we compute them for every smooth log smooth scheme X=(X _,∂ X) …

We consider slice filtrations in logarithmic motivic homotopy theory. Our main results
establish conjectured compatibilities with the Beilinson, BMS, and HKR filtrations on …

In this article, we study a Gysin triangle in the category of motives with modulus (Theorem
1.2). We can understand this Gysin triangle as a motivic lift of the Gysin triangle of log …

We develop a theory of motives with compact support for logarithmic schemes over a field.
Starting from the notion of finite logarithmic correspondences with compact support, we …