$\mathcal{D}$-elliptic sheaves and the Hasse principle

Keisuke Arai, Shin Hattori, Satoshi Kondo +1

Let $p$ be a rational prime, $q>1$ a power of $p$ and $F={\mathbb{F}}_q(t)$. For an integer $d\ge 2$, let $D$ be a central division algebra over $F$ of dimension $d^2$ which is spli…