3 citations · 5 across the 9 of their papers we have counts for
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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…
On the -adic deformation problem for the -theory of semistable schemes
Federico Binda, Tommy Lundemo, Alberto Merici +1
We establish a semistable generalization of the Beilinson-Bloch-Esnault-Kerz fiber square, relating the algebraic K-theory of a semistable scheme to its logarithmic topological cyc…
Some computations in the heart of the homotopy t-structure on logarithmic motives
Alberto Merici
In this note we will illustrate a method for computing the of the effective log motive of a smooth and proper variety over a perfect field and show that it is $\mathbf{A}…
Logarithmic TC via the Infinite Root Stack and the Beilinson Fiber Square
Federico Binda, Tommy Lundemo, Alberto Merici +1
We apply our previous results on ``saturated descent'' to express a wide range of logarithmic cohomology theories in terms of the infinite root stack. Examples include the log cota…
Motivic p-adic tame cohomology
Alberto Merici
We construct a comparison functor between (-local) tame motives and (-local) log-étale motives over a field of positive characteristic. This g…
Logarithmic prismatic cohomology, motivic sheaves, and comparison theorems
Federico Binda, Tommy Lundemo, Alberto Merici +1
We prove that (logarithmic) prismatic and (logarithmic) syntomic cohomology are representable in the category of logarithmic motives. As an application, we obtain Gysin maps for pr…
A motivic integral -adic cohomology
Alberto Merici
We construct an integral -adic cohomology that compares with rigid cohomology after inverting . Our approach is based on the log-Witt differentials of Hyodo-Kato and log-étal…
Derived Log Albanese Sheaves
Federico Binda, Alberto Merici, Shuji Saito
We define higher pro-Albanese functors for every effective log motive over a field of characteristic zero, and we compute them for every smooth log smooth scheme $X=(\underline…
Connectivity and Purity for logarithmic motives
Federico Binda, Alberto Merici
The goal of this paper is to extend the work of Voevodsky and Morel on the homotopy -structure on the category of motivic complexes to the context of motives for logarithmic sch…