Cohomology of varieties over the maximal Kummer extension of a number field

Davide Lombardo, Tamás Szamuely, Tamás Szamuely

Let $X$ be a smooth projective geometrically connected variety defined over a number field $K$. We prove that the geometric étale cohomology of $X$ with $\mathbb{Q}/\mathbb{Z}$-coe…