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math.AG2024
On the functoriality of refined unramified cohomology
Kees Kok, Lin Zhou
In this paper, we generalise the construction of the functorial pullback of refined unramified cohomology between smooth schemes, by following the ideas of Fulton's intersection th…
math.AG2023
On the failure of the integral Hodge/Tate conjecture for products with projective hypersurfaces
Kees Kok
In this paper we show the failure of the integral Hodge/Tate conjecture for the product of an Enriques surface with a smooth odd-dimensional projective hypersurface. To do this, we…
math.AG2023
Higher Chow groups with finite coefficients and refined unramified cohomology
Kees Kok, Lin Zhou
In this paper we show that Bloch's higher cycle class map with finite coefficients for quasi-projective equi-dimensional schemes over a field fits naturally in a long exact sequenc…