$h^1\ne h_1$ for Anderson t-motives

Aleksandr Grishkov, Dmitry Logachev

Let $M$ be an Anderson t-motive of dimension $n$ and rank $r$. Associated are two ${\mathbb{F}}_q[T]$-modules $H^1(M)$, $H_1(M)$ of dimensions $h^1(M)$, $h_1(M)\le r$ - analogs of $H^1(A…