5 problems

Let $\mathbf{A}=\mathbb{F}_q[t]$, $A=\mathbb{F}_q[\theta]$, and $K=\operatorname{Frac}(A)=\mathbb{F}_q(\theta)$. Let $E$ be a finite extension of $K$ and let…

A uniformizable abelian $t$-module with everywhere good reduction is an abelian $t$-module satisfying the stated uniformizability and reduction hypotheses. Its Lie algebra contains…

Let $V$ be a $G_{\Sigma}$-module valued in a coefficient field $E$, with ring of integers $\mathcal{O}$ and uniformizer $\varpi$. Let…

Let $E$ be a Drinfeld module with everywhere good reduction. In this case $W_E=\operatorname{Lie}_E$ is one-dimensional, and let $e\in\operatorname{Lie}_E(K_\infty)$ be a generator…

Let $K$ be a finite separable extension of $\mathbf{F}_q(t)$, let $A=\mathbf{F}_q[t]$, and let $K_\infty$ and $O_K$ denote the completions and the ring of integers used in the defi…