3 problems

Let $K$ be the global function field in the setup, let $F\in\operatorname{End}_{\mathbb{F}_p}(\mathbb{G}_{a/K}^d)$ be an additive polynomial mapping, and let $\kappa$ and $\delta$…

Let $K/\mathbb{F}_q$ be a global function field, let $F: \mathbb{G}_{a/K}^d \to \mathbb{G}_{a/K}^d$ be an additive polynomial mapping, and define … for $P\in\mathbb{G}_a^d(K)$. Sil…

Genericity conjecture. The resulting additive polynomials are generic for $\operatorname{Sp}_{2n}(q)$, ${}^{2}\!\operatorname{B}_2(q)$, $\operatorname{SU}_n(q)$ for odd $n$ at leas…