3 papers
math.AG2025
Completion of motivic sheaves
Denis-Charles Cisinski
We study the process of -adic completion of motivic sheaves. We observe that, in equal characteristic, when restricted to constructible objets, it is compatible with the six…
math.AG2024
Uniform approximation of Betti numbers
Denis-Charles Cisinski
We prove that Lefschetz's principle of approximating the cohomology of a possibly singular affine scheme of finite type over a field by the cohomology of a suitable (thickening of…
math.AG2023
Homotopy theory of schemes and -equivalence
Denis-Charles Cisinski, Bruno Kahn
We prove that, for any smooth and projective scheme over a field of char. , the set of maps from Spec to in the -homotopy category of schemes $\mat…