3 citations · 5 across the 9 of their papers we have counts for
11 papers
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…
Cancellation theorems for reciprocity sheaves
Alberto Merici, Shuji Saito
We prove cancellation theorems for reciprocity sheaves and cube-invariant modulus sheaves with transfers of Kahn--Saito--Yamazaki, generalizing Voevodsky's cancellation theorem for…