On the congruence class modulo prime numbers of the number of rational points of a variety

Lucile Devin

Let $X$ be a scheme of finite type over $\mathbf{Z}$. For $p\in \mathcal{P}$ the set of prime numbers, let $N_X(p)$ be the number of ${\mathbf{F}}_p$-points of $X/\mathbf{F}_{p}…