6 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…