4 problems

ℓ-adic integral Tate conjecture in codimension $c$. The cycle class map

Uniform boundedness conjecture. For every integer $d\geq 1$, one has

Let $X$ be a smooth projective variety over a finite field, and let $d=\dim X$. Say that $X$ is separably rationally connected in codimension $1$ if it admits a morphism…

Let $X$ be a smooth projective separably rationally connected variety of dimension $d$ over an algebraically closed field. The groups … and, when $X$ is defined over the complex nu…